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41414497572 = 223721719721031
BaseRepresentation
bin100110100100011111…
…110001010100100100
310221220020200110101110
4212210133301110210
51134304102410242
631005304225020
72664201264300
oct464437612444
9127806613343
1041414497572
1116622449aa8
12803976b170
133ba0138a86
14200c3b4d00
151125c9239c
hex9a47f1524

41414497572 has 144 divisors (see below), whose sum is σ = 119633044608. Its totient is φ = 11079613440.

The previous prime is 41414497561. The next prime is 41414497573. The reversal of 41414497572 is 27579441414.

It is not an unprimeable number, because it can be changed into a prime (41414497573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1958697 + ... + 1979727.

It is an arithmetic number, because the mean of its divisors is an integer number (830785032).

Almost surely, 241414497572 is an apocalyptic number.

41414497572 is a gapful number since it is divisible by the number (42) 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 41414497572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59816522304).

41414497572 is an abundant number, since it is smaller than the sum of its proper divisors (78218547036).

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

41414497572 is a wasteful number, since it uses less digits than its factorization.

41414497572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21266 (or 21257 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The spelling of 41414497572 in words is "forty-one billion, four hundred fourteen million, four hundred ninety-seven thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 197 204 238 294 357 394 476 588 591 714 788 833 1182 1379 1428 1666 2364 2499 2758 3332 3349 4137 4998 5516 6698 8274 9653 9996 10047 13396 16548 19306 20094 21031 23443 28959 38612 40188 42062 46886 57918 63093 70329 84124 93772 115836 126186 140658 147217 164101 252372 281316 294434 328202 357527 441651 492303 588868 656404 715054 883302 984606 1030519 1072581 1430108 1766604 1969212 2061038 2145162 2502689 3091557 4122076 4143107 4290324 5005378 6183114 7508067 8286214 10010756 12366228 12429321 15016134 16572428 17518823 24858642 29001749 30032268 35037646 49717284 52556469 58003498 70075292 70432819 87005247 105112938 116006996 140865638 174010494 203012243 210225876 211298457 281731276 348020988 406024486 422596914 493029733 609036729 812048972 845193828 986059466 1218073458 1479089199 1972118932 2436146916 2958178398 3451208131 5916356796 6902416262 10353624393 13804832524 20707248786 41414497572