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3113418880 = 275111334019
BaseRepresentation
bin1011100110010011…
…0000000010000000
322000222110001210101
42321210300002000
522334013401010
61232535212144
7140103423655
oct27144600200
98028401711
103113418880
111358497760
1272a817054
133a8045ac0
142176cbc2c
151334e973a
hexb9930080

3113418880 has 128 divisors (see below), whose sum is σ = 8744500800. Its totient is φ = 1045032960.

The previous prime is 3113418857. The next prime is 3113418899. The reversal of 3113418880 is 888143113.

It is a tau number, because it is divible by the number of its divisors (128).

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, 74511 + ... + 108529.

Almost surely, 23113418880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3113418880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4372250400).

3113418880 is an abundant number, since it is smaller than the sum of its proper divisors (5631081920).

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

3113418880 is a wasteful number, since it uses less digits than its factorization.

3113418880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34062 (or 34050 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 3113418880 is about 55798.0186028142. The cubic root of 3113418880 is about 1460.2005854389.

The spelling of 3113418880 in words is "three billion, one hundred thirteen million, four hundred eighteen thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 128 130 143 160 176 208 220 260 286 320 352 416 440 520 572 640 704 715 832 880 1040 1144 1408 1430 1664 1760 2080 2288 2860 3520 4160 4576 5720 7040 8320 9152 11440 18304 22880 34019 45760 68038 91520 136076 170095 272152 340190 374209 442247 544304 680380 748418 884494 1088608 1360760 1496836 1768988 1871045 2177216 2211235 2721520 2993672 3537976 3742090 4354432 4422470 4864717 5443040 5987344 7075952 7484180 8844940 9729434 10886080 11974688 14151904 14968360 17689880 19458868 21772160 23949376 24323585 28303808 29936720 35379760 38917736 47898752 48647170 56607616 59873440 70759520 77835472 97294340 119746880 141519040 155670944 194588680 239493760 283038080 311341888 389177360 622683776 778354720 1556709440 3113418880