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40459117248 = 2633112128531
BaseRepresentation
bin100101101011100011…
…010010001011000000
310212102122222002222000
4211223203102023000
51130330013222443
630330415144000
72631420552024
oct455343221300
9125378862860
1040459117248
1116182131690
127a11815000
133a7a222084
141d5b560384
1510bbe768d3
hex96b8d22c0

40459117248 has 112 divisors (see below), whose sum is σ = 129755310720. Its totient is φ = 12260332800.

The previous prime is 40459117243. The next prime is 40459117273. The reversal of 40459117248 is 84271195404.

40459117248 is a `hidden beast` number, since 4 + 0 + 4 + 591 + 17 + 2 + 48 = 666.

It is a super-2 number, since 2×404591172482 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (40459117243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1045258 + ... + 1083273.

It is an arithmetic number, because the mean of its divisors is an integer number (1158529560).

Almost surely, 240459117248 is an apocalyptic number.

40459117248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40459117248 is an abundant number, since it is smaller than the sum of its proper divisors (89296193472).

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

40459117248 is a wasteful number, since it uses less digits than its factorization.

40459117248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128563 (or 2128547 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 40459117248 in words is "forty billion, four hundred fifty-nine million, one hundred seventeen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 3168 4752 6336 9504 19008 2128531 4257062 6385593 8514124 12771186 17028248 19156779 23413841 25542372 34056496 38313558 46827682 51084744 57470337 68112992 70241523 76627116 93655364 102169488 114940674 136225984 140483046 153254232 187310728 204338976 210724569 229881348 280966092 306508464 374621456 408677952 421449138 459762696 561932184 613016928 632173707 749242912 842898276 919525392 1123864368 1226033856 1264347414 1498485824 1685796552 1839050784 2247728736 2528694828 3371593104 3678101568 4495457472 5057389656 6743186208 10114779312 13486372416 20229558624 40459117248