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1114679145680 = 24529480465149
BaseRepresentation
bin10000001110001000000…
…011011111010011010000
310221120011220110122000222
4100032020003133103100
5121230330330130210
62212024310332212
7143350534256432
oct20161003372320
93846156418028
101114679145680
1139a807355451
1216004795a068
13811630042a9
143bd44c4a652
151dede537655
hex103880df4d0

1114679145680 has 40 divisors (see below), whose sum is σ = 2680995537000. Its totient is φ = 430496772608.

The previous prime is 1114679145661. The next prime is 1114679145719. The reversal of 1114679145680 is 865419764111.

It can be written as a sum of positive squares in 4 ways, for example, as 299103985216 + 815575160464 = 546904^2 + 903092^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240230255 + ... + 240234894.

It is an arithmetic number, because the mean of its divisors is an integer number (67024888425).

Almost surely, 21114679145680 is an apocalyptic number.

1114679145680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1114679145680 is an abundant number, since it is smaller than the sum of its proper divisors (1566316391320).

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

1114679145680 is a wasteful number, since it uses less digits than its factorization.

1114679145680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480465191 (or 480465185 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 53.

The spelling of 1114679145680 in words is "one trillion, one hundred fourteen billion, six hundred seventy-nine million, one hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 480465149 960930298 1921860596 2402325745 3843721192 4804651490 7687442384 9609302980 13933489321 19218605960 27866978642 38437211920 55733957284 69667446605 111467914568 139334893210 222935829136 278669786420 557339572840 1114679145680