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45315212215014 = 23272311657348117
BaseRepresentation
bin10100100110110110001010…
…01000001000001011100110
312221110002111001102202102200
422103123011020020023212
521414421023311340024
6240213304320315330
712354626126321400
oct1223330510101346
9187402431382380
1045315212215014
1113491089a26155
1250ba484a72b46
131c3928ac79791
14b293a7469b70
15538b453802c9
hex2936c52082e6

45315212215014 has 72 divisors (see below), whose sum is σ = 117897115722048. Its totient is φ = 12529551756960.

The previous prime is 45315212215003. The next prime is 45315212215019. The reversal of 45315212215014 is 41051221251354.

45315212215014 is a `hidden beast` number, since 4 + 53 + 1 + 521 + 2 + 21 + 50 + 14 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 45315212215014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45315212215019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 828646717 + ... + 828701400.

It is an arithmetic number, because the mean of its divisors is an integer number (1637459940584).

Almost surely, 245315212215014 is an apocalyptic number.

45315212215014 is an abundant number, since it is smaller than the sum of its proper divisors (72581903507034).

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

45315212215014 is a wasteful number, since it uses less digits than its factorization.

45315212215014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657348170 (or 1657348160 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 45315212215014 its reverse (41051221251354), we get a palindrome (86366433466368).

The spelling of 45315212215014 in words is "forty-five trillion, three hundred fifteen billion, two hundred twelve million, two hundred fifteen thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 49 62 63 93 98 126 147 186 217 279 294 434 441 558 651 882 1302 1519 1953 3038 3906 4557 9114 13671 27342 1657348117 3314696234 4972044351 9944088702 11601436819 14916133053 23202873638 29832266106 34804310457 51377791627 69608620914 81210057733 102755583254 104412931371 154133374881 162420115466 208825862742 243630173199 308266749762 359644541389 462400124643 487260346398 719289082778 730890519597 924800249286 1078933624167 1461781039194 2157867248334 2517511789723 3236800872501 5035023579446 6473601745002 7552535369169 15105070738338 22657606107507 45315212215014