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116506412040 = 23356131158357
BaseRepresentation
bin110110010000001010…
…0101100010000001000
3102010201112100221202210
41230200110230100020
53402101120141130
6125304452425120
711263065106524
oct1544024542010
9363645327683
10116506412040
1145456917847
121a6b59181a0
13aca9484465
1458d3376d84
15306d4135b0
hex1b2052c408

116506412040 has 64 divisors (see below), whose sum is σ = 349578452160. Its totient is φ = 31063112960.

The previous prime is 116506412023. The next prime is 116506412083. The reversal of 116506412040 is 40214605611.

116506412040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 116506411989 and 116506412007.

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, 656542 + ... + 814898.

It is an arithmetic number, because the mean of its divisors is an integer number (5462163315).

Almost surely, 2116506412040 is an apocalyptic number.

116506412040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116506412040 is an abundant number, since it is smaller than the sum of its proper divisors (233072040120).

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

116506412040 is a wasteful number, since it uses less digits than its factorization.

116506412040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164502 (or 164498 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 116506412040 in words is "one hundred sixteen billion, five hundred six million, four hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 6131 12262 18393 24524 30655 36786 49048 61310 73572 91965 122620 147144 158357 183930 245240 316714 367860 475071 633428 735720 791785 950142 1266856 1583570 1900284 2375355 3167140 3800568 4750710 6334280 9501420 19002840 970886767 1941773534 2912660301 3883547068 4854433835 5825320602 7767094136 9708867670 11650641204 14563301505 19417735340 23301282408 29126603010 38835470680 58253206020 116506412040