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232140003401152 = 26711291624356271
BaseRepresentation
bin110100110010000101001110…
…011100001101110111000000
31010102221100220222021100021101
4310302011032130031313000
5220411340211332314102
62141415351220304144
766616363455545230
oct6462051634156700
91112840828240241
10232140003401152
1167a700280516a0
1222052355542054
139c6b9294455a2
1441478c96d5cc0
151bc8762ed9e87
hexd3214e70ddc0

232140003401152 has 112 divisors (see below), whose sum is σ = 594124550046720. Its totient is φ = 87325393075200.

The previous prime is 232140003401107. The next prime is 232140003401153. The reversal of 232140003401152 is 251104300041232.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 232140003401152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232140003401153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 812035224 + ... + 812321047.

It is an arithmetic number, because the mean of its divisors is an integer number (5304683482560).

Almost surely, 2232140003401152 is an apocalyptic number.

232140003401152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

232140003401152 is an abundant number, since it is smaller than the sum of its proper divisors (361984546645568).

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

232140003401152 is a wasteful number, since it uses less digits than its factorization.

232140003401152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624356330 (or 1624356320 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 232140003401152 its reverse (251104300041232), we get a palindrome (483244303442384).

The spelling of 232140003401152 in words is "two hundred thirty-two trillion, one hundred forty billion, three million, four hundred one thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 32 44 56 58 64 77 88 112 116 154 176 203 224 232 308 319 352 406 448 464 616 638 704 812 928 1232 1276 1624 1856 2233 2464 2552 3248 4466 4928 5104 6496 8932 10208 12992 17864 20416 35728 71456 142912 1624356271 3248712542 6497425084 11370493897 12994850168 17867918981 22740987794 25989700336 35735837962 45481975588 47106331859 51979400672 71471675924 90963951176 94212663718 103958801344 125075432867 142943351848 181927902352 188425327436 250150865734 285886703696 329744323013 363855804704 376850654872 500301731468 518169650449 571773407392 659488646026 727711609408 753701309744 1000603462936 1036339300898 1143546814784 1318977292052 1507402619488 2001206925872 2072678601796 2637954584104 3014805238976 3627187553143 4002413851744 4145357203592 5275909168208 7254375106286 8004827703488 8290714407184 10551818336416 14508750212572 16581428814368 21103636672832 29017500425144 33162857628736 58035000850288 116070001700576 232140003401152