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3116118040 = 235753593559
BaseRepresentation
bin1011100110111100…
…0011000000011000
322001011112012100021
42321233003000120
522340211234130
61233113120224
7140135365150
oct27157030030
98034465307
103116118040
111359a70672
1272b6b9074
133a877c539
14217bd1760
1513387e37a
hexb9bc3018

3116118040 has 128 divisors (see below), whose sum is σ = 8304768000. Its totient is φ = 1030169088.

The previous prime is 3116118013. The next prime is 3116118043. The reversal of 3116118040 is 408116113.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3116117996 and 3116118014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3116118043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 873781 + ... + 877339.

It is an arithmetic number, because the mean of its divisors is an integer number (64881000).

Almost surely, 23116118040 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 3116118040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4152384000).

3116118040 is an abundant number, since it is smaller than the sum of its proper divisors (5188649960).

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

3116118040 is a wasteful number, since it uses less digits than its factorization.

3116118040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3689 (or 3685 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 3116118040 is about 55822.2002432724. The cubic root of 3116118040 is about 1460.6224342966.

The spelling of 3116118040 in words is "three billion, one hundred sixteen million, one hundred eighteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 59 70 106 118 140 212 236 265 280 295 371 413 424 472 530 590 742 826 1060 1180 1484 1652 1855 2065 2120 2360 2968 3127 3304 3559 3710 4130 6254 7118 7420 8260 12508 14236 14840 15635 16520 17795 21889 24913 25016 28472 31270 35590 43778 49826 62540 71180 87556 99652 109445 124565 125080 142360 175112 188627 199304 209981 218890 249130 377254 419962 437780 498260 754508 839924 875560 943135 996520 1049905 1320389 1469867 1509016 1679848 1886270 2099810 2640778 2939734 3772540 4199620 5281556 5879468 6601945 7349335 7545080 8399240 10563112 11128993 11758936 13203890 14698670 22257986 26407780 29397340 44515972 52815560 55644965 58794680 77902951 89031944 111289930 155805902 222579860 311611804 389514755 445159720 623223608 779029510 1558059020 3116118040