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45269121040 = 24511133957091
BaseRepresentation
bin101010001010001111…
…111111100000010000
311022211212211121201121
4222022033333200100
51220202343333130
632444002212024
73161545115503
oct521217774020
9138755747647
1045269121040
1118220269730
128934654014
1343658b9b70
1422962c513a
15129e39cd7a
hexa8a3ff810

45269121040 has 80 divisors (see below), whose sum is σ = 123651210816. Its totient is φ = 15195225600.

The previous prime is 45269121031. The next prime is 45269121067. The reversal of 45269121040 is 4012196254.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 45269120987 and 45269121005.

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 15 ways as a sum of consecutive naturals, for example, 1967106 + ... + 1989985.

Almost surely, 245269121040 is an apocalyptic number.

45269121040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45269121040 is an abundant number, since it is smaller than the sum of its proper divisors (78382089776).

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

45269121040 is a wasteful number, since it uses less digits than its factorization.

45269121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3957128 (or 3957122 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 45269121040 in words is "forty-five billion, two hundred sixty-nine million, one hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1430 2288 2860 5720 11440 3957091 7914182 15828364 19785455 31656728 39570910 43528001 51442183 63313456 79141820 87056002 102884366 158283640 174112004 205768732 217640005 257210915 316567280 348224008 411537464 435280010 514421830 565864013 696448016 823074928 870560020 1028843660 1131728026 1741120040 2057687320 2263456052 2829320065 3482240080 4115374640 4526912104 5658640130 9053824208 11317280260 22634560520 45269121040