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404040074040 = 233254723879437
BaseRepresentation
bin1011110000100101010…
…10100100001100111000
31102121220020200101200200
411320102222210030320
523104433224332130
6505340301002200
741122326651351
oct5702252441470
91377806611620
10404040074040
111463970a7869
1266380253360
132c1406511b5
14157ac988d28
15a79b437760
hex5e12aa4338

404040074040 has 96 divisors (see below), whose sum is σ = 1341069238080. Its totient is φ = 105451589376.

The previous prime is 404040074029. The next prime is 404040074051. The reversal of 404040074040 is 40470040404.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (404040074029) and next prime (404040074051).

It is a junction number, because it is equal to n+sod(n) for n = 404040073995 and 404040074013.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 11922799 + ... + 11956638.

It is an arithmetic number, because the mean of its divisors is an integer number (13969471230).

Almost surely, 2404040074040 is an apocalyptic number.

404040074040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404040074040 is an abundant number, since it is smaller than the sum of its proper divisors (937029164040).

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

404040074040 is a wasteful number, since it uses less digits than its factorization.

404040074040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23879501 (or 23879494 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The spelling of 404040074040 in words is "four hundred four billion, forty million, seventy-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 47 60 72 90 94 120 141 180 188 235 282 360 376 423 470 564 705 846 940 1128 1410 1692 1880 2115 2820 3384 4230 5640 8460 16920 23879437 47758874 71638311 95517748 119397185 143276622 191035496 214914933 238794370 286553244 358191555 429829866 477588740 573106488 716383110 859659732 955177480 1074574665 1122333539 1432766220 1719319464 2149149330 2244667078 2865532440 3367000617 4298298660 4489334156 5611667695 6734001234 8596597320 8978668312 10101001851 11223335390 13468002468 16835003085 20202003702 22446670780 26936004936 33670006170 40404007404 44893341560 50505009255 67340012340 80808014808 101010018510 134680024680 202020037020 404040074040