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141378316032 = 283613017809
BaseRepresentation
bin1000001110101011001…
…1011110011100000000
3111111220220020120220010
42003222303132130000
54304020322103112
6144540455544520
713133325600252
oct2035263363400
9444826216803
10141378316032
1154a5a4123a8
122349738b140
13104412baa05
146bb26d7cd2
153a26c3163c
hex20eacde700

141378316032 has 72 divisors (see below), whose sum is σ = 382441025680. Its totient is φ = 46353530880.

The previous prime is 141378316021. The next prime is 141378316087. The reversal of 141378316032 is 230613873141.

141378316032 is digitally balanced in base 3, 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1462057 + ... + 1555752.

Almost surely, 2141378316032 is an apocalyptic number.

141378316032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

141378316032 is an abundant number, since it is smaller than the sum of its proper divisors (241062709648).

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

141378316032 is an equidigital number, since it uses as much as digits as its factorization.

141378316032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3017889 (or 3017875 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 141378316032 in words is "one hundred forty-one billion, three hundred seventy-eight million, three hundred sixteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 366 384 488 732 768 976 1464 1952 2928 3904 5856 7808 11712 15616 23424 46848 3017809 6035618 9053427 12071236 18106854 24142472 36213708 48284944 72427416 96569888 144854832 184086349 193139776 289709664 368172698 386279552 552259047 579419328 736345396 772559104 1104518094 1158838656 1472690792 2209036188 2317677312 2945381584 4418072376 5890763168 8836144752 11781526336 17672289504 23563052672 35344579008 47126105344 70689158016 141378316032