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42254533545224 = 237111311234698611
BaseRepresentation
bin10011001101110001001100…
…11101100100110100001000
312112121111100002112200022012
421212320212131210310020
521014244241041421344
6225511244214315052
711620534506014420
oct1146704635446410
9175544302480265
1042254533545224
11125110576817a0
1248a5265958a88
131a7677c20b050
14a611b78d9480
154d420da2b29e
hex266e26764d08

42254533545224 has 128 divisors (see below), whose sum is σ = 106469796142080. Its totient is φ = 15182900409600.

The previous prime is 42254533545181. The next prime is 42254533545241.

42254533545224 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6643679 + ... + 11342289.

It is an arithmetic number, because the mean of its divisors is an integer number (831795282360).

Almost surely, 242254533545224 is an apocalyptic number.

42254533545224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42254533545224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53234898071040).

42254533545224 is an abundant number, since it is smaller than the sum of its proper divisors (64215262596856).

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

42254533545224 is a wasteful number, since it uses less digits than its factorization.

42254533545224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4699771 (or 4699767 counting only the distinct ones).

The product of its digits is 23040000, while the sum is 50.

The spelling of 42254533545224 in words is "forty-two trillion, two hundred fifty-four billion, five hundred thirty-three million, five hundred forty-five thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1123 1144 2002 2246 4004 4492 7861 8008 8984 12353 14599 15722 24706 29198 31444 49412 58396 62888 86471 98824 102193 116792 160589 172942 204386 321178 345884 408772 642356 691768 817544 1124123 1284712 2248246 4496492 4698611 8992984 9397222 18794444 32890277 37588888 51684721 61081943 65780554 103369442 122163886 131561108 206738884 244327772 263122216 361793047 413477768 427573601 488655544 671901373 723586094 855147202 1343802746 1447172188 1710294404 2687605492 2894344376 3420588808 4703309611 5276540153 5375210984 9406619222 10553080306 18813238444 21106160612 36935781071 37626476888 42212321224 58041941683 68595021989 73871562142 116083883366 137190043978 147743124284 232167766732 274380087956 295486248568 406293591781 464335533464 480165153923 548760175912 754545241879 812587183562 960330307846 1509090483758 1625174367124 1920660615692 3018180967516 3250348734248 3841321231384 5281816693153 6036361935032 10563633386306 21127266772612 42254533545224