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132140121134232 = 233101643194943499
BaseRepresentation
bin11110000010111001000100…
…111110110001010010011000
3122022212110202020111021102010
4132002321010332301102120
5114304440432002243412
61145012200021105520
736555544246203051
oct3602710476612230
9568773666437363
10132140121134232
1139116346549092
12129a17832582a0
1358969b58117b3
14248b88a3ad728
151042403c2433c
hex782e44fb1498

132140121134232 has 128 divisors (see below), whose sum is σ = 334319076000000. Its totient is φ = 43519435814400.

The previous prime is 132140121134167. The next prime is 132140121134233. The reversal of 132140121134232 is 232431121041231.

It is a super-2 number, since 2×1321401211342322 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132140121134232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132140121134233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3037752019 + ... + 3037795517.

It is an arithmetic number, because the mean of its divisors is an integer number (2611867781250).

Almost surely, 2132140121134232 is an apocalyptic number.

132140121134232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132140121134232 is an abundant number, since it is smaller than the sum of its proper divisors (202178954865768).

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

132140121134232 is a wasteful number, since it uses less digits than its factorization.

132140121134232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46201 (or 46197 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 132140121134232 its reverse (232431121041231), we get a palindrome (364571242175463).

The spelling of 132140121134232 in words is "one hundred thirty-two trillion, one hundred forty billion, one hundred twenty-one million, one hundred thirty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 101 202 303 404 606 643 808 1212 1286 1929 1949 2424 2572 3858 3898 5144 5847 7716 7796 11694 15432 15592 23388 43499 46776 64943 86998 129886 130497 173996 194829 196849 259772 260994 347992 389658 393698 519544 521988 590547 779316 787396 1043976 1181094 1253207 1558632 1574792 2362188 2506414 3759621 4393399 4724376 5012828 7519242 8786798 10025656 13180197 15038484 17573596 26360394 27969857 30076968 35147192 52720788 55939714 83909571 84779551 105441576 111879428 126573907 167819142 169559102 223758856 253147814 254338653 335638284 339118204 379721721 506295628 508677306 671276568 678236408 759443442 1012591256 1017354612 1518886884 2034709224 2824955557 3037773768 5649911114 8474866671 8562734651 11299822228 16949733342 17125469302 22599644456 25688203953 33899466684 34250938604 51376407906 54513251293 67798933368 68501877208 102752815812 109026502586 163539753879 205505631624 218053005172 327079507758 436106010344 654159015516 1308318031032 5505838380593 11011676761186 16517515141779 22023353522372 33035030283558 44046707044744 66070060567116 132140121134232