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31440221424 = 243219113101693
BaseRepresentation
bin11101010001111110…
…111011010011110000
310000011010022201202100
4131101332323103300
51003342144041144
622235441020400
72162055321063
oct352176732360
9100133281670
1031440221424
1112374204777
126115324700
132c70887121
14174382a8da
15c402b6269
hex751fbb4f0

31440221424 has 120 divisors (see below), whose sum is σ = 93440514960. Its totient is φ = 9840531456.

The previous prime is 31440221411. The next prime is 31440221441. The reversal of 31440221424 is 42412204413.

31440221424 is a `hidden beast` number, since 3 + 1 + 440 + 2 + 214 + 2 + 4 = 666.

It is a congruent number.

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, 258322 + ... + 360014.

It is an arithmetic number, because the mean of its divisors is an integer number (778670958).

Almost surely, 231440221424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31440221424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46720257480).

31440221424 is an abundant number, since it is smaller than the sum of its proper divisors (62000293536).

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

31440221424 is a wasteful number, since it uses less digits than its factorization.

31440221424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101839 (or 101830 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 31440221424 its reverse (42412204413), we get a palindrome (73852425837).

The spelling of 31440221424 in words is "thirty-one billion, four hundred forty million, two hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 113 114 144 152 171 226 228 304 339 342 452 456 678 684 904 912 1017 1356 1368 1808 2034 2147 2712 2736 4068 4294 5424 6441 8136 8588 12882 16272 17176 19323 25764 34352 38646 51528 77292 101693 103056 154584 203386 305079 309168 406772 610158 813544 915237 1220316 1627088 1830474 1932167 2440632 3660948 3864334 4881264 5796501 7321896 7728668 11491309 11593002 14643792 15457336 17389503 22982618 23186004 30914672 34473927 34779006 45965236 46372008 68947854 69558012 91930472 92744016 103421781 137895708 139116024 183860944 206843562 218334871 275791416 278232048 413687124 436669742 551582832 655004613 827374248 873339484 1310009226 1654748496 1746678968 1965013839 2620018452 3493357936 3930027678 5240036904 7860055356 10480073808 15720110712 31440221424