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114050523202002 = 2342973332553413
BaseRepresentation
bin11001111011101001110100…
…111011000000000111010010
3112221211010100001120001220000
4121323221310323000013102
5104422100432414431002
61042322030445230430
733010610166616002
oct3173516473000722
9487733301501800
10114050523202002
1133381612069262
121095b909562416
134b83bc235669a
142024109286002
15d2bab0e6061c
hex67ba74ec01d2

114050523202002 has 80 divisors (see below), whose sum is σ = 267991494206040. Its totient is φ = 36203094643968.

The previous prime is 114050523201991. The next prime is 114050523202079. The reversal of 114050523202002 is 200202325050411.

114050523202002 is a `hidden beast` number, since 1 + 1 + 40 + 50 + 52 + 320 + 200 + 2 = 666.

114050523202002 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 112700114192961 + 1350409009041 = 10616031^2 + 1162071^2 .

It is a super-3 number, since 3×1140505232020023 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 165933753 + ... + 166619660.

Almost surely, 2114050523202002 is an apocalyptic number.

114050523202002 is an abundant number, since it is smaller than the sum of its proper divisors (153940971004038).

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

114050523202002 is a wasteful number, since it uses less digits than its factorization.

114050523202002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332553529 (or 332553520 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 114050523202002 its reverse (200202325050411), we get a palindrome (314252848252413).

The spelling of 114050523202002 in words is "one hundred fourteen trillion, fifty billion, five hundred twenty-three million, two hundred two thousand, two".

Divisors: 1 2 3 6 9 18 27 29 54 58 73 81 87 146 162 174 219 261 438 522 657 783 1314 1566 1971 2117 2349 3942 4234 4698 5913 6351 11826 12702 19053 38106 57159 114318 171477 342954 332553413 665106826 997660239 1995320478 2992980717 5985961434 8978942151 9644048977 17957884302 19288097954 24276399149 26936826453 28932146931 48552798298 53873652906 57864293862 72829197447 86796440793 145658394894 173592881586 218487592341 260389322379 436975184682 520778644758 655462777023 704015575321 781167967137 1310925554046 1408031150642 1562335934274 1966388331069 2112046725963 3932776662138 4224093451926 6336140177889 12672280355778 19008420533667 38016841067334 57025261601001 114050523202002