Search a number
-
+
42425504302176 = 25321746318715637
BaseRepresentation
bin10011010010101111101010…
…00111010000010001100000
312120012211122100012000121200
421221113311013100101200
521030044413100132201
6230122001351121200
711636066355326652
oct1151276507202140
9176184570160550
1042425504302176
1112577612169a36
12491241b673200
131a89928303a18
14a6959646a6d2
154d88b86cd386
hex2695f51d0460

42425504302176 has 144 divisors (see below), whose sum is σ = 128020354023744. Its totient is φ = 13281214205952.

The previous prime is 42425504302073. The next prime is 42425504302219. The reversal of 42425504302176 is 67120340552424.

42425504302176 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 550 + 4 + 3 + 0 + 21 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7090971 + ... + 11624666.

It is an arithmetic number, because the mean of its divisors is an integer number (889030236276).

Almost surely, 242425504302176 is an apocalyptic number.

It is an amenable number.

42425504302176 is an abundant number, since it is smaller than the sum of its proper divisors (85594849721568).

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

42425504302176 is a wasteful number, since it uses less digits than its factorization.

42425504302176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18716133 (or 18716122 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 42425504302176 in words is "forty-two trillion, four hundred twenty-five billion, five hundred four million, three hundred two thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 463 544 612 816 926 1224 1389 1632 1852 2448 2778 3704 4167 4896 5556 7408 7871 8334 11112 14816 15742 16668 22224 23613 31484 33336 44448 47226 62968 66672 70839 94452 125936 133344 141678 188904 251872 283356 377808 566712 755616 1133424 2266848 18715637 37431274 56146911 74862548 112293822 149725096 168440733 224587644 299450192 318165829 336881466 449175288 598900384 636331658 673762932 898350576 954497487 1272663316 1347525864 1796701152 1908994974 2545326632 2695051728 2863492461 3817989948 5090653264 5390103456 5726984922 7635979896 8665339931 10181306528 11453969844 15271959792 17330679862 22907939688 25996019793 30543919584 34661359724 45815879376 51992039586 69322719448 77988059379 91631758752 103984079172 138645438896 147310778827 155976118758 207968158344 277290877792 294621557654 311952237516 415936316688 441932336481 589243115308 623904475032 831872633376 883864672962 1178486230616 1247808950064 1325797009443 1767729345924 2356972461232 2495617900128 2651594018886 3535458691848 4713944922464 5303188037772 7070917383696 10606376075544 14141834767392 21212752151088 42425504302176