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40712060880 = 2432574376103
BaseRepresentation
bin100101111010101000…
…001011111111010000
310220002021220222101200
4211322220023333100
51131334241422010
630411452431200
72640611544021
oct457250137720
9126067828350
1040712060880
11162a1995a07
127a82478500
133aba75556a
141d82da4c48
1510d428ccc0
hex97aa0bfd0

40712060880 has 120 divisors (see below), whose sum is σ = 136910487168. Its totient is φ = 10841795328.

The previous prime is 40712060821. The next prime is 40712060891. The reversal of 40712060880 is 8806021704.

40712060880 is a `hidden beast` number, since 40 + 7 + 1 + 2 + 0 + 608 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 496909 + ... + 573011.

Almost surely, 240712060880 is an apocalyptic number.

40712060880 is a gapful number since it is divisible by the number (40) 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 40712060880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68455243584).

40712060880 is an abundant number, since it is smaller than the sum of its proper divisors (96198426288).

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

40712060880 is a wasteful number, since it uses less digits than its factorization.

40712060880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76865 (or 76856 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 40712060880 in words is "forty billion, seven hundred twelve million, sixty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 743 1486 2229 2972 3715 4458 5944 6687 7430 8916 11145 11888 13374 14860 17832 22290 26748 29720 33435 35664 44580 53496 59440 66870 76103 89160 106992 133740 152206 178320 228309 267480 304412 380515 456618 534960 608824 684927 761030 913236 1141545 1217648 1369854 1522060 1826472 2283090 2739708 3044120 3424635 3652944 4566180 5479416 6088240 6849270 9132360 10958832 13698540 18264720 27397080 54794160 56544529 113089058 169633587 226178116 282722645 339267174 452356232 508900761 565445290 678534348 848167935 904712464 1017801522 1130890580 1357068696 1696335870 2035603044 2261781160 2544503805 2714137392 3392671740 4071206088 4523562320 5089007610 6785343480 8142412176 10178015220 13570686960 20356030440 40712060880