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4318781040 = 243257856901
BaseRepresentation
bin1000000010110101…
…10101111001110000
3102010222112210211100
410001122311321300
532321101443130
61552314244400
7212011014240
oct40132657160
912128483740
104318781040
111916926132
12a06426700
1353a996b52
142cd815b20
151a4243c60
hex1016b5e70

4318781040 has 120 divisors (see below), whose sum is σ = 16575912288. Its totient is φ = 987148800.

The previous prime is 4318781021. The next prime is 4318781063. The reversal of 4318781040 is 401878134.

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 junction number, because it is equal to n+sod(n) for n = 4318780986 and 4318781004.

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, 423411 + ... + 433490.

Almost surely, 24318781040 is an apocalyptic number.

4318781040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4318781040 is an abundant number, since it is smaller than the sum of its proper divisors (12257131248).

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

4318781040 is a wasteful number, since it uses less digits than its factorization.

4318781040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856927 (or 856918 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 4318781040 is about 65717.4333035002. The cubic root of 4318781040 is about 1628.4973719127.

The spelling of 4318781040 in words is "four billion, three hundred eighteen million, seven hundred eighty-one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 856901 1713802 2570703 3427604 4284505 5141406 5998307 6855208 7712109 8569010 10282812 11996614 12853515 13710416 15424218 17138020 17994921 20565624 23993228 25707030 29991535 30848436 34276040 35989842 38560545 41131248 47986456 51414060 53984763 59983070 61696872 68552080 71979684 77121090 89974605 95972912 102828120 107969526 119966140 123393744 143959368 154242180 179949210 205656240 215939052 239932280 269923815 287918736 308484360 359898420 431878104 479864560 539847630 616968720 719796840 863756208 1079695260 1439593680 2159390520 4318781040