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45031123022004 = 223277117914060503
BaseRepresentation
bin10100011110100101000000…
…00101110111000010110100
312220102221012101111110200100
422033102200011313002310
521400242214443201004
6235435002355114100
712325251131114310
oct1217224005670264
9186387171443610
1045031123022004
1113391656a94719
1250733bbba2930
131c185555a5582
14b197374bcb40
15531569949739
hex28f4a01770b4

45031123022004 has 144 divisors (see below), whose sum is σ = 132659167979520. Its totient is φ = 12613957554240.

The previous prime is 45031123021979. The next prime is 45031123022021. The reversal of 45031123022004 is 40022032113054.

45031123022004 is a `hidden beast` number, since 45 + 0 + 3 + 112 + 302 + 200 + 4 = 666.

It is a super-2 number, since 2×450311230220042 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3827584 + ... + 10232919.

It is an arithmetic number, because the mean of its divisors is an integer number (921244222080).

Almost surely, 245031123022004 is an apocalyptic number.

It is an amenable number.

45031123022004 is an abundant number, since it is smaller than the sum of its proper divisors (87628044957516).

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

45031123022004 is a wasteful number, since it uses less digits than its factorization.

45031123022004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14060770 (or 14060765 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 45031123022004 its reverse (40022032113054), we get a palindrome (85053155135058).

The spelling of 45031123022004 in words is "forty-five trillion, thirty-one billion, one hundred twenty-three million, twenty-two thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 71 84 126 142 179 213 252 284 358 426 497 537 639 716 852 994 1074 1253 1278 1491 1611 1988 2148 2506 2556 2982 3222 3759 4473 5012 5964 6444 7518 8946 11277 12709 15036 17892 22554 25418 38127 45108 50836 76254 88963 114381 152508 177926 228762 266889 355852 457524 533778 800667 1067556 1601334 3202668 14060503 28121006 42181509 56242012 84363018 98423521 126544527 168726036 196847042 253089054 295270563 393694084 506178108 590541126 885811689 998295713 1181082252 1771623378 1996591426 2516830037 2994887139 3543246756 3993182852 5033660074 5989774278 6988069991 7550490111 8984661417 10067320148 11979548556 13976139982 15100980222 17617810259 17969322834 20964209973 22651470333 27952279964 30201960444 35235620518 35938645668 41928419946 45302940666 52853430777 62892629919 70471241036 83856839892 90605881332 105706861554 125785259838 158560292331 178694932627 211413723108 251570519676 317120584662 357389865254 536084797881 634241169324 714779730508 1072169595762 1250864528389 1608254393643 2144339191524 2501729056778 3216508787286 3752593585167 5003458113556 6433017574572 7505187170334 11257780755501 15010374340668 22515561511002 45031123022004