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45434420136 = 23327231415427
BaseRepresentation
bin101010010100000110…
…100011101110101000
311100021101212200110100
4222110012203232220
51221022202421021
632512225145400
73165623125200
oct522406435650
9140241780410
1045434420136
11182a5600356
12897ba8b260
134390c14591
1422b0233400
1512adb50626
hexa941a3ba8

45434420136 has 144 divisors (see below), whose sum is σ = 147759431040. Its totient is φ = 12562482240.

The previous prime is 45434420123. The next prime is 45434420153. The reversal of 45434420136 is 63102443454.

45434420136 is a `hidden beast` number, since 45 + 43 + 442 + 0 + 136 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45434420136.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 98346 + ... + 317081.

It is an arithmetic number, because the mean of its divisors is an integer number (1026107160).

Almost surely, 245434420136 is an apocalyptic number.

It is an amenable number.

45434420136 is an abundant number, since it is smaller than the sum of its proper divisors (102325010904).

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

45434420136 is a wasteful number, since it uses less digits than its factorization.

45434420136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415484 (or 415470 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 45434420136 in words is "forty-five billion, four hundred thirty-four million, four hundred twenty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 49 56 62 63 72 84 93 98 124 126 147 168 186 196 217 248 252 279 294 372 392 434 441 504 558 588 651 744 868 882 1116 1176 1302 1519 1736 1764 1953 2232 2604 3038 3528 3906 4557 5208 6076 7812 9114 12152 13671 15624 18228 27342 36456 54684 109368 415427 830854 1246281 1661708 2492562 2907989 3323416 3738843 4985124 5815978 7477686 8723967 9970248 11631956 12878237 14955372 17447934 20355923 23263912 25756474 26171901 29910744 34895868 38634711 40711846 51512948 52343802 61067769 69791736 77269422 81423692 90147659 103025896 104687604 115904133 122135538 154538844 162847384 180295318 183203307 209375208 231808266 244271076 270442977 309077688 360590636 366406614 463616532 488542152 540885954 631033613 721181272 732813228 811328931 927233064 1081771908 1262067226 1465626456 1622657862 1893100839 2163543816 2524134452 3245315724 3786201678 5048268904 5679302517 6490631448 7572403356 11358605034 15144806712 22717210068 45434420136