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140104252352 = 261072367521
BaseRepresentation
bin1000001001111011011…
…1010011101111000000
3111101122002212110002102
42002132313103233000
54243413142033402
6144210224205532
713056625332011
oct2023667235700
9441562773072
10140104252352
115446621a509
12231a07698a8
131029a36418c
146ad1409008
15399ee66102
hex209edd3bc0

140104252352 has 84 divisors (see below), whose sum is σ = 281946790944. Its totient is φ = 69075502080.

The previous prime is 140104252349. The next prime is 140104252357. The reversal of 140104252352 is 253252401041.

140104252352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1401042523522 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140104252357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 268913852 + ... + 268914372.

It is an arithmetic number, because the mean of its divisors is an integer number (3356509416).

Almost surely, 2140104252352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140104252352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140973395472).

140104252352 is an abundant number, since it is smaller than the sum of its proper divisors (141842538592).

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

140104252352 is an equidigital number, since it uses as much as digits as its factorization.

140104252352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 140104252352 its reverse (253252401041), we get a palindrome (393356653393).

The spelling of 140104252352 in words is "one hundred forty billion, one hundred four million, two hundred fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 107 214 367 428 521 734 856 1042 1468 1712 2084 2936 3424 4168 5872 6848 8336 11449 11744 16672 22898 23488 33344 39269 45796 55747 78538 91592 111494 157076 183184 191207 222988 314152 366368 382414 445976 628304 732736 764828 891952 1256608 1529656 1783904 2513216 3059312 3567808 4201783 5964929 6118624 8403566 11929858 12237248 16807132 20459149 23859716 33614264 40918298 47719432 67228528 81836596 95438864 134457056 163673192 190877728 268914112 327346384 381755456 654692768 1309385536 2189128943 4378257886 8756515772 17513031544 35026063088 70052126176 140104252352