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31320243144 = 2332312479631
BaseRepresentation
bin11101001010110101…
…001111101111001000
32222211202120012111100
4131022311033233020
51003120440240034
622215513301400
72156100450141
oct351265175710
988752505440
1031320243144
1112312508273
1260a1104860
132c51a6a068
141731918ac8
15c349b7099
hex74ad4fbc8

31320243144 has 144 divisors (see below), whose sum is σ = 89524431360. Its totient is φ = 9887313600.

The previous prime is 31320243079. The next prime is 31320243173. The reversal of 31320243144 is 44134202313.

31320243144 is a `hidden beast` number, since 3 + 1 + 320 + 24 + 314 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3247209 + ... + 3256839.

It is an arithmetic number, because the mean of its divisors is an integer number (621697440).

Almost surely, 231320243144 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 31320243144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44762215680).

31320243144 is an abundant number, since it is smaller than the sum of its proper divisors (58204188216).

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

31320243144 is a wasteful number, since it uses less digits than its factorization.

31320243144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9752 (or 9714 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 31320243144 its reverse (44134202313), we get a palindrome (75454445457).

The spelling of 31320243144 in words is "thirty-one billion, three hundred twenty million, two hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 47 62 72 93 94 124 141 186 188 248 279 282 372 376 423 558 564 744 846 961 1116 1128 1457 1692 1922 2232 2883 2914 3384 3844 4371 5766 5828 7688 8649 8742 9631 11532 11656 13113 17298 17484 19262 23064 26226 28893 34596 34968 38524 45167 52452 57786 69192 77048 86679 90334 104904 115572 135501 173358 180668 231144 271002 298561 346716 361336 406503 452657 542004 597122 693432 813006 895683 905314 1084008 1194244 1357971 1626012 1791366 1810628 2388488 2687049 2715942 3252024 3582732 3621256 4073913 5374098 5431884 7165464 8147826 9255391 10748196 10863768 14032367 16295652 18510782 21496392 27766173 28064734 32591304 37021564 42097101 55532346 56129468 74043128 83298519 84194202 111064692 112258936 126291303 166597038 168388404 222129384 252582606 333194076 336776808 435003377 505165212 666388152 870006754 1010330424 1305010131 1740013508 2610020262 3480027016 3915030393 5220040524 7830060786 10440081048 15660121572 31320243144