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232401142343000 = 2353262188668883
BaseRepresentation
bin110100110101111000011011…
…100010001110010101011000
31010110212022222012021002000102
4310311320123202032111120
5220430130014414434000
62142135335542154532
766644266646123141
oct6465703342162530
91113768865232012
10232401142343000
1168060853192804
1222094a94422a48
139c8a445158617
1441563bd624ac8
151bd0448b8b3d5
hexd35e1b88e558

232401142343000 has 64 divisors (see below), whose sum is σ = 544026164404320. Its totient is φ = 92924988336000.

The previous prime is 232401142342981. The next prime is 232401142343033. The reversal of 232401142343000 is 343241104232.

232401142343000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41713442 + ... + 46955441.

Almost surely, 2232401142343000 is an apocalyptic number.

232401142343000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232401142343000 is an abundant number, since it is smaller than the sum of its proper divisors (311625022061320).

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

232401142343000 is a wasteful number, since it uses less digits than its factorization.

232401142343000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88671525 (or 88671511 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 232401142343000 its reverse (343241104232), we get a palindrome (232744383447232).

The spelling of 232401142343000 in words is "two hundred thirty-two trillion, four hundred one billion, one hundred forty-two million, three hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2621 5242 10484 13105 20968 26210 52420 65525 104840 131050 262100 327625 524200 655250 1310500 2621000 88668883 177337766 354675532 443344415 709351064 886688830 1773377660 2216722075 3546755320 4433444150 8866888300 11083610375 17733776600 22167220750 44334441500 88668883000 232401142343 464802284686 929604569372 1162005711715 1859209138744 2324011423430 4648022846860 5810028558575 9296045693720 11620057117150 23240114234300 29050142792875 46480228468600 58100285585750 116200571171500 232401142343000