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112412410040 = 23573131282661
BaseRepresentation
bin110100010110001001…
…1010100000010111000
3101202011012210002211002
41220230103110002320
53320210034110130
6123350324024132
711056453501610
oct1505423240270
9352135702732
10112412410040
1143745969517
1219952832048
13a7a623c378
145625753a40
152dcdcc0b45
hex1a2c4d40b8

112412410040 has 64 divisors (see below), whose sum is σ = 289984224960. Its totient is φ = 38418232320.

The previous prime is 112412410039. The next prime is 112412410067. The reversal of 112412410040 is 40014214211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 112412409994 and 112412410021.

It is a congruent number.

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, 553691 + ... + 728970.

It is an arithmetic number, because the mean of its divisors is an integer number (4531003515).

Almost surely, 2112412410040 is an apocalyptic number.

112412410040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112412410040 is an abundant number, since it is smaller than the sum of its proper divisors (177571814920).

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

112412410040 is a wasteful number, since it uses less digits than its factorization.

112412410040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282992 (or 1282988 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 112412410040 its reverse (40014214211), we get a palindrome (152426624251).

The spelling of 112412410040 in words is "one hundred twelve billion, four hundred twelve million, four hundred ten thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 313 626 1252 1565 2191 2504 3130 4382 6260 8764 10955 12520 17528 21910 43820 87640 1282661 2565322 5130644 6413305 8978627 10261288 12826610 17957254 25653220 35914508 44893135 51306440 71829016 89786270 179572540 359145080 401472893 802945786 1605891572 2007364465 2810310251 3211783144 4014728930 5620620502 8029457860 11241241004 14051551255 16058915720 22482482008 28103102510 56206205020 112412410040