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13424030433324 = 22327547460321157
BaseRepresentation
bin1100001101011000011010…
…0100001100000000101100
31202112022202202120101122100
43003112012210030000230
53224414403242331244
644314525304215100
72553565662664650
oct303260644140054
952468682511570
1013424030433324
114306110241345
12160980076a490
13764b5a9ba074
14345a258a6a60
151842caa83b69
hexc358690c02c

13424030433324 has 144 divisors (see below), whose sum is σ = 38861706327808. Its totient is φ = 3827412860544.

The previous prime is 13424030433259. The next prime is 13424030433479. The reversal of 13424030433324 is 42333403042431.

13424030433324 is a `hidden beast` number, since 1 + 3 + 4 + 24 + 0 + 304 + 3 + 3 + 324 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 634485354 + ... + 634506510.

Almost surely, 213424030433324 is an apocalyptic number.

13424030433324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13424030433324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19430853163904).

13424030433324 is an abundant number, since it is smaller than the sum of its proper divisors (25437675894484).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13424030433324 is a wasteful number, since it uses less digits than its factorization.

13424030433324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26324 (or 26319 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 13424030433324 its reverse (42333403042431), we get a palindrome (55757433475755).

The spelling of 13424030433324 in words is "thirteen trillion, four hundred twenty-four billion, thirty million, four hundred thirty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 547 1094 1641 2188 3282 3829 4603 4923 6564 7658 9206 9846 11487 13809 15316 18412 19692 21157 22974 27618 32221 34461 41427 42314 45948 55236 63471 64442 68922 82854 84628 96663 126942 128884 137844 148099 165708 190413 193326 253884 289989 296198 380826 386652 444297 579978 592396 761652 888594 1159956 1332891 1777188 2517841 2665782 5035682 5331564 7553523 10071364 11572879 15107046 17624887 22660569 23145758 30214092 34718637 35249774 45321138 46291516 52874661 69437274 70499548 81010153 90642276 97385671 104155911 105749322 138874548 158623983 162020306 194771342 208311822 211498644 243030459 292157013 317247966 324040612 389542684 416623644 486060918 584314026 634495932 681699697 729091377 876471039 972121836 1168628052 1363399394 1458182754 1752942078 2045099091 2726798788 2916365508 3505884156 4090198182 6135297273 8180396364 12270594546 24541189092 53269962037 106539924074 159809886111 213079848148 319619772222 372889734259 479429658333 639239544444 745779468518 958859316666 1118669202777 1491558937036 1917718633332 2237338405554 3356007608331 4474676811108 6712015216662 13424030433324