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132114012244032 = 2637137561470481
BaseRepresentation
bin11110000010100000110000…
…110001010000100001000000
3122022202222100200000020012210
4132002200300301100201000
5114304023444113302112
61144552201145022120
736553631245250460
oct3602406061204100
9568688320006183
10132114012244032
1139106268785485
12129986b7484940
1358943b4633c40
14248a4d0a51ba0
1510418c6a11b3c
hex782830c50840

132114012244032 has 112 divisors (see below), whose sum is σ = 430217424543872. Its totient is φ = 34843255971840.

The previous prime is 132114012244013. The next prime is 132114012244037. The reversal of 132114012244032 is 230442210411231.

It is a happy number.

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

It is a super-2 number, since 2×1321140122440322 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132114012244037) 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, 3780717769 + ... + 3780752712.

It is an arithmetic number, because the mean of its divisors is an integer number (3841227004856).

Almost surely, 2132114012244032 is an apocalyptic number.

132114012244032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132114012244032 is an abundant number, since it is smaller than the sum of its proper divisors (298103412299840).

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

132114012244032 is a wasteful number, since it uses less digits than its factorization.

132114012244032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7561470516 (or 7561470506 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 132114012244032 its reverse (230442210411231), we get a palindrome (362556222655263).

The spelling of 132114012244032 in words is "one hundred thirty-two trillion, one hundred fourteen billion, twelve million, two hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 4368 5824 8736 17472 7561470481 15122940962 22684411443 30245881924 45368822886 52930293367 60491763848 90737645772 98299116253 105860586734 120983527696 158790880101 181475291544 196598232506 211721173468 241967055392 294897348759 317581760202 362950583088 393196465012 423442346936 483934110784 589794697518 635163520404 688093813771 725901166176 786392930024 846884693872 1179589395036 1270327040808 1376187627542 1451802332352 1572785860048 1693769387744 2064281441313 2359178790072 2540654081616 2752375255084 3145571720096 3387538775488 4128562882626 4718357580144 5081308163232 5504750510168 6291143440192 8257125765252 9436715160288 10162616326464 11009501020336 16514251530504 18873430320576 22019002040672 33028503061008 44038004081344 66057006122016 132114012244032