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2014243120032 = 2531113146725169
BaseRepresentation
bin11101010011111010001…
…111101110001110100000
321010120010001210022112020
4131103322033232032200
5231000132214320112
64141155220301440
7265344552012243
oct35237217561640
97116101708466
102014243120032
11707265803770
12286459b41880
13117c33347250
146d6c037125a
15375dd63648c
hex1d4fa3ee3a0

2014243120032 has 96 divisors (see below), whose sum is σ = 6211756797120. Its totient is φ = 563424645120.

The previous prime is 2014243120007. The next prime is 2014243120033. The reversal of 2014243120032 is 2300213424102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2014243119984 and 2014243120011.

It is not an unprimeable number, because it can be changed into a prime (2014243120033) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 73348857 + ... + 73376312.

It is an arithmetic number, because the mean of its divisors is an integer number (64705799970).

Almost surely, 22014243120032 is an apocalyptic number.

2014243120032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2014243120032 is an abundant number, since it is smaller than the sum of its proper divisors (4197513677088).

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

2014243120032 is a wasteful number, since it uses less digits than its factorization.

2014243120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146725206 (or 146725198 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2014243120032 its reverse (2300213424102), we get a palindrome (4314456544134).

The spelling of 2014243120032 in words is "two trillion, fourteen billion, two hundred forty-three million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 858 1056 1144 1248 1716 2288 3432 4576 6864 13728 146725169 293450338 440175507 586900676 880351014 1173801352 1613976859 1760702028 1907427197 2347602704 3227953718 3521404056 3814854394 4695205408 4841930577 5722281591 6455907436 7042808112 7629708788 9683861154 11444563182 12911814872 14085616224 15259417576 19367722308 20981699167 22889126364 25823629744 30518835152 38735444616 41963398334 45778252728 51647259488 61037670304 62945097501 77470889232 83926796668 91556505456 125890195002 154941778464 167853593336 183113010912 251780390004 335707186672 503560780008 671414373344 1007121560016 2014243120032