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4313105511440 = 2451112738592569
BaseRepresentation
bin111110110000111001000…
…111110011010000010000
3120021022212201221200121212
4332300321013303100100
51031131220002331230
613101225135435252
7623416526641565
oct76607107632020
916238781850555
104313105511440
1114131a5689660
12597aaa385b28
13253954b1c32b
1410ca80c3486c
15772d8ead895
hex3ec391f3410

4313105511440 has 80 divisors (see below), whose sum is σ = 11025742878720. Its totient is φ = 1556052341760.

The previous prime is 4313105511401. The next prime is 4313105511461. The reversal of 4313105511440 is 441155013134.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4313105511397 and 4313105511406.

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, 19184525 + ... + 19408044.

It is an arithmetic number, because the mean of its divisors is an integer number (137821785984).

Almost surely, 24313105511440 is an apocalyptic number.

4313105511440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4313105511440 is an abundant number, since it is smaller than the sum of its proper divisors (6712637367280).

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

4313105511440 is a wasteful number, since it uses less digits than its factorization.

4313105511440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38592720 (or 38592714 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 4313105511440 in words is "four trillion, three hundred thirteen billion, one hundred five million, five hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 127 176 220 254 440 508 635 880 1016 1270 1397 2032 2540 2794 5080 5588 6985 10160 11176 13970 22352 27940 55880 111760 38592569 77185138 154370276 192962845 308740552 385925690 424518259 617481104 771851380 849036518 1543702760 1698073036 2122591295 3087405520 3396146072 4245182590 4901256263 6792292144 8490365180 9802512526 16980730360 19605025052 24506281315 33961460720 39210050104 49012562630 53913818893 78420100208 98025125260 107827637786 196050250520 215655275572 269569094465 392100501040 431310551144 539138188930 862621102288 1078276377860 2156552755720 4313105511440