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45121412154 = 23721319621353
BaseRepresentation
bin101010000001011100…
…100001110000111010
311022110120220020020010
4222001130201300322
51214402040142104
632421204242350
73155102450400
oct520134416072
9138416806203
1045121412154
1118154951875
1288b30a03b6
134341110a60
142280835470
151291422489
hexa81721c3a

45121412154 has 96 divisors (see below), whose sum is σ = 119001718080. Its totient is φ = 11273810688.

The previous prime is 45121412153. The next prime is 45121412159.

45121412154 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×451214121542 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45121412153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238059 + ... + 383294.

It is an arithmetic number, because the mean of its divisors is an integer number (1239601230).

Almost surely, 245121412154 is an apocalyptic number.

45121412154 is an abundant number, since it is smaller than the sum of its proper divisors (73880305926).

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

45121412154 is a wasteful number, since it uses less digits than its factorization.

45121412154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621404 (or 621397 counting only the distinct ones).

The product of its digits is 6400, while the sum is 30.

The spelling of 45121412154 in words is "forty-five billion, one hundred twenty-one million, four hundred twelve thousand, one hundred fifty-four".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 49 57 78 91 98 114 133 147 182 247 266 273 294 399 494 546 637 741 798 931 1274 1482 1729 1862 1911 2793 3458 3822 5187 5586 10374 12103 24206 36309 72618 621353 1242706 1864059 3728118 4349471 8077589 8698942 11805707 13048413 16155178 23611414 24232767 26096826 30446297 35417121 48465534 56543123 60892594 70834242 82639949 91338891 113086246 153474191 165279898 169629369 182677782 247919847 306948382 339258738 395801861 460422573 495839694 578479643 791603722 920845146 1074319337 1156959286 1187405583 1735438929 2148638674 2374811166 3222958011 3470877858 6445916022 7520235359 15040470718 22560706077 45121412154