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132140410121016 = 233211433880091911
BaseRepresentation
bin11110000010111001010110…
…001101001010101100111000
3122022212111111101021022202100
4132002321112031022230320
5114304442024442333031
61145012244423103400
736555554355433113
oct3602712615125470
9568774441238670
10132140410121016
1139116484690140
12129a1843ba1b60
135896a306547ab
14248b8b691757a
15104241e2a9de6
hex782e5634ab38

132140410121016 has 96 divisors (see below), whose sum is σ = 399494263259520. Its totient is φ = 39111326452800.

The previous prime is 132140410121009. The next prime is 132140410121053. The reversal of 132140410121016 is 610121014041231.

It is a happy number.

132140410121016 is a `hidden beast` number, since 1 + 3 + 2 + 140 + 410 + 1 + 2 + 101 + 6 = 666.

It is a super-2 number, since 2×1321404101210162 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1940011900 + ... + 1940080011.

It is an arithmetic number, because the mean of its divisors is an integer number (4161398575620).

Almost surely, 2132140410121016 is an apocalyptic number.

It is an amenable number.

132140410121016 is an abundant number, since it is smaller than the sum of its proper divisors (267353853138504).

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

132140410121016 is a wasteful number, since it uses less digits than its factorization.

132140410121016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3880091977 (or 3880091970 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 132140410121016 its reverse (610121014041231), we get a palindrome (742261424162247).

The spelling of 132140410121016 in words is "one hundred thirty-two trillion, one hundred forty billion, four hundred ten million, one hundred twenty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 43 44 66 72 86 88 99 129 132 172 198 258 264 344 387 396 473 516 774 792 946 1032 1419 1548 1892 2838 3096 3784 4257 5676 8514 11352 17028 34056 3880091911 7760183822 11640275733 15520367644 23280551466 31040735288 34920827199 42681011021 46561102932 69841654398 85362022042 93122205864 128043033063 139683308796 166843952173 170724044084 256086066126 279366617592 333687904346 341448088168 384129099189 500531856519 512172132252 667375808692 768258198378 1001063713038 1024344264504 1334751617384 1501595569557 1536516396756 1835283473903 2002127426076 3003191139114 3073032793512 3670566947806 4004254852152 5505850421709 6006382278228 7341133895612 11011700843418 12012764556456 14682267791224 16517551265127 22023401686836 33035102530254 44046803373672 66070205060508 132140410121016