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42741137520 = 24325173491923
BaseRepresentation
bin100111110011100100…
…100000000001110000
311002022200222202021100
4213303210200001300
51200013212400040
631345054524400
73042110450244
oct476344400160
9132280882240
1042741137520
1117143292254
128349b06700
134051c40523
1420d666c424
1511a2495b30
hex9f3920070

42741137520 has 120 divisors (see below), whose sum is σ = 151982500176. Its totient is φ = 10727184384.

The previous prime is 42741137513. The next prime is 42741137531. The reversal of 42741137520 is 2573114724.

42741137520 is a `hidden beast` number, since 4 + 274 + 11 + 375 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1733722 + ... + 1758201.

Almost surely, 242741137520 is an apocalyptic number.

42741137520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42741137520 is an abundant number, since it is smaller than the sum of its proper divisors (109241362656).

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

42741137520 is a wasteful number, since it uses less digits than its factorization.

42741137520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3491959 (or 3491950 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 42741137520 in words is "forty-two billion, seven hundred forty-one million, one hundred thirty-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 12240 3491923 6983846 10475769 13967692 17459615 20951538 27935384 31427307 34919230 41903076 52378845 55870768 59362691 62854614 69838460 83806152 104757690 118725382 125709228 139676920 157136535 167612304 178088073 209515380 237450764 251418456 279353840 296813455 314273070 356176146 419030760 474901528 502836912 534264219 593626910 628546140 712352292 838061520 890440365 949803056 1068528438 1187253820 1257092280 1424704584 1780880730 2137056876 2374507640 2514184560 2671321095 2849409168 3561761460 4274113752 4749015280 5342642190 7123522920 8548227504 10685284380 14247045840 21370568760 42741137520