Search a number
-
+
42102623504 = 2417238817639
BaseRepresentation
bin100111001101100000…
…110000110100010000
311000200012111212201002
4213031200300310100
51142211232423004
631201445201132
73020225252324
oct471540606420
9130605455632
1042102623504
1116945919217
1281b01001a8
133c7c87b596
14207593b984
1511663bb61e
hex9cd830d10

42102623504 has 80 divisors (see below), whose sum is σ = 90241724160. Its totient is φ = 18927575040.

The previous prime is 42102623477. The next prime is 42102623513. The reversal of 42102623504 is 40532620124.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5507717 + ... + 5515355.

It is an arithmetic number, because the mean of its divisors is an integer number (1128021552).

Almost surely, 242102623504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42102623504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45120862080).

42102623504 is an abundant number, since it is smaller than the sum of its proper divisors (48139100656).

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

42102623504 is a wasteful number, since it uses less digits than its factorization.

42102623504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8568 (or 8562 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The spelling of 42102623504 in words is "forty-two billion, one hundred two million, six hundred twenty-three thousand, five hundred four".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 136 184 272 368 391 782 881 1564 1762 3128 3524 6256 7048 7639 14096 14977 15278 20263 29954 30556 40526 59908 61112 81052 119816 122224 129863 162104 175697 239632 259726 324208 344471 351394 519452 688942 702788 1038904 1377884 1405576 2077808 2755768 2811152 2986849 5511536 5973698 6729959 11947396 13459918 23894792 26919836 47789584 53839672 107679344 114409303 154789057 228818606 309578114 457637212 619156228 915274424 1238312456 1830548848 2476624912 2631413969 5262827938 10525655876 21051311752 42102623504