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141210022122432 = 26321911283540777
BaseRepresentation
bin100000000110111000000101…
…001101010001001111000000
3200111222112202020100012222100
4200012320011031101033000
5122002041111130404212
61220154553312310400
741513041662443004
oct4006700515211700
9614875666305870
10141210022122432
1140aa291a17224a
1213a07546842400
1360a4081460063
1426c285c896704
15114d2e3ea4bdc
hex806e053513c0

141210022122432 has 84 divisors (see below), whose sum is σ = 406872158299776. Its totient is φ = 46823567508480.

The previous prime is 141210022122383. The next prime is 141210022122461. The reversal of 141210022122432 is 234221220012141.

141210022122432 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 1 + 0 + 0 + 221 + 2 + 2 + 432 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 141210022122396 and 141210022122405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 641660373 + ... + 641880404.

Almost surely, 2141210022122432 is an apocalyptic number.

141210022122432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

141210022122432 is an abundant number, since it is smaller than the sum of its proper divisors (265662136177344).

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

141210022122432 is a wasteful number, since it uses less digits than its factorization.

141210022122432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283540986 (or 1283540973 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 141210022122432 its reverse (234221220012141), we get a palindrome (375431242134573).

The spelling of 141210022122432 in words is "one hundred forty-one trillion, two hundred ten billion, twenty-two million, one hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 191 192 288 382 573 576 764 1146 1528 1719 2292 3056 3438 4584 6112 6876 9168 12224 13752 18336 27504 36672 55008 110016 1283540777 2567081554 3850622331 5134163108 7701244662 10268326216 11551866993 15402489324 20536652432 23103733986 30804978648 41073304864 46207467972 61609957296 82146609728 92414935944 123219914592 184829871888 245156288407 246439829184 369659743776 490312576814 735468865221 739319487552 980625153628 1470937730442 1961250307256 2206406595663 2941875460884 3922500614512 4412813191326 5883750921768 7845001229024 8825626382652 11767501843536 15690002458048 17651252765304 23535003687072 35302505530608 47070007374144 70605011061216 141210022122432