Search a number
-
+
142085627936 = 2571997344173
BaseRepresentation
bin1000010001010011110…
…1101010000000100000
3111120202012011202102022
42010110331222000200
54311442410043221
6145135004041012
713160004624140
oct2042475520040
9446665152368
10142085627936
11552926a629a
1223654233168
13105249ba275
146c3c616920
153a68d9a4ab
hex2114f6a020

142085627936 has 96 divisors (see below), whose sum is σ = 339988844160. Its totient is φ = 57094004736.

The previous prime is 142085627923. The next prime is 142085627941. The reversal of 142085627936 is 639726580241.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240746 + ... + 584918.

It is an arithmetic number, because the mean of its divisors is an integer number (3541550460).

It is a 1-persistent number, because it is pandigital, but 2⋅142085627936 = 284171255872 is not.

Almost surely, 2142085627936 is an apocalyptic number.

142085627936 is a gapful number since it is divisible by the number (16) 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 142085627936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169994422080).

142085627936 is an abundant number, since it is smaller than the sum of its proper divisors (197903216224).

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

142085627936 is a wasteful number, since it uses less digits than its factorization.

142085627936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344306 (or 344298 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 53.

The spelling of 142085627936 in words is "one hundred forty-two billion, eighty-five million, six hundred twenty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 97 112 133 152 194 224 266 304 388 532 608 679 776 1064 1358 1552 1843 2128 2716 3104 3686 4256 5432 7372 10864 12901 14744 21728 25802 29488 51604 58976 103208 206416 344173 412832 688346 1376692 2409211 2753384 4818422 5506768 6539287 9636844 11013536 13078574 19273688 26157148 33384781 38547376 45775009 52314296 66769562 77094752 91550018 104628592 133539124 183100036 209257184 233693467 267078248 366200072 467386934 534156496 634310839 732400144 934773868 1068312992 1268621678 1464800288 1869547736 2537243356 3739095472 4440175873 5074486712 7478190944 8880351746 10148973424 17760703492 20297946848 35521406984 71042813968 142085627936