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113466645040 = 2457409495401
BaseRepresentation
bin110100110101100100…
…0111001101000110000
3101211212200111210100211
41221223020321220300
53324334430120130
6124043103553504
711124544366210
oct1515310715060
9354780453324
10113466645040
1144136a65911
1219ba78bb894
13a913788468
1456c577c240
152e41616a2a
hex1a6b239a30

113466645040 has 80 divisors (see below), whose sum is σ = 302234852160. Its totient is φ = 38807654400.

The previous prime is 113466645023. The next prime is 113466645101. The reversal of 113466645040 is 40546664311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 113466644984 and 113466645002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18661 + ... + 476740.

It is an arithmetic number, because the mean of its divisors is an integer number (3777935652).

Almost surely, 2113466645040 is an apocalyptic number.

113466645040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113466645040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151117426080).

113466645040 is an abundant number, since it is smaller than the sum of its proper divisors (188768207120).

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

113466645040 is a wasteful number, since it uses less digits than its factorization.

113466645040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495830 (or 495824 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 113466645040 in words is "one hundred thirteen billion, four hundred sixty-six million, six hundred forty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 409 560 818 1636 2045 2863 3272 4090 5726 6544 8180 11452 14315 16360 22904 28630 32720 45808 57260 114520 229040 495401 990802 1981604 2477005 3467807 3963208 4954010 6935614 7926416 9908020 13871228 17339035 19816040 27742456 34678070 39632080 55484912 69356140 138712280 202619009 277424560 405238018 810476036 1013095045 1418333063 1620952072 2026190090 2836666126 3241904144 4052380180 5673332252 7091665315 8104760360 11346664504 14183330630 16209520720 22693329008 28366661260 56733322520 113466645040