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40674869640 = 23325809139661
BaseRepresentation
bin100101111000011010…
…010100000110001000
310212222200221110121100
4211320122110012020
51131300231312030
630404043341400
72636650454526
oct457032240610
9125880843540
1040674869640
11162829a3649
127a71b21860
133ab2b33302
141d7c083316
1510d0d93360
hex978694188

40674869640 has 96 divisors (see below), whose sum is σ = 132357677400. Its totient is φ = 10833146880.

The previous prime is 40674869633. The next prime is 40674869657. The reversal of 40674869640 is 4696847604.

40674869640 is a `hidden beast` number, since 40 + 67 + 486 + 9 + 64 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38855505924 + 1819363716 = 197118^2 + 42654^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221410 + ... + 361070.

Almost surely, 240674869640 is an apocalyptic number.

40674869640 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 40674869640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66178838700).

40674869640 is an abundant number, since it is smaller than the sum of its proper divisors (91682807760).

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

40674869640 is a wasteful number, since it uses less digits than its factorization.

40674869640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140487 (or 140480 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 40674869640 in words is "forty billion, six hundred seventy-four million, eight hundred sixty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 809 1618 2427 3236 4045 4854 6472 7281 8090 9708 12135 14562 16180 19416 24270 29124 32360 36405 48540 58248 72810 97080 139661 145620 279322 291240 418983 558644 698305 837966 1117288 1256949 1396610 1675932 2094915 2513898 2793220 3351864 4189830 5027796 5586440 6284745 8379660 10055592 12569490 16759320 25138980 50277960 112985749 225971498 338957247 451942996 564928745 677914494 903885992 1016871741 1129857490 1355828988 1694786235 2033743482 2259714980 2711657976 3389572470 4067486964 4519429960 5084358705 6779144940 8134973928 10168717410 13558289880 20337434820 40674869640