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31307778305144 = 23114312278143
BaseRepresentation
bin1110001111001011010010…
…00000010010110001111000
311002211222211220022001102222
413013211221000102301320
513100421312221231034
6150330332250543212
76410624634515225
oct707455100226170
9132758756261388
1031307778305144
119a80610730000
1236177a7737b08
131461406b677c3
147a34399b094c
153945c1a0712e
hex1c7969012c78

31307778305144 has 120 divisors (see below), whose sum is σ = 66722288342400. Its totient is φ = 13771700474400.

The previous prime is 31307778305087. The next prime is 31307778305147. The reversal of 31307778305144 is 44150387770313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31307778305147) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 112420937 + ... + 112699079.

It is an arithmetic number, because the mean of its divisors is an integer number (556019069520).

Almost surely, 231307778305144 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 31307778305144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33361144171200).

31307778305144 is an abundant number, since it is smaller than the sum of its proper divisors (35414510037256).

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

31307778305144 is an equidigital number, since it uses as much as digits as its factorization.

31307778305144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278255 (or 278187 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 53.

The spelling of 31307778305144 in words is "thirty-one trillion, three hundred seven billion, seven hundred seventy-eight million, three hundred five thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 31 44 62 88 121 124 242 248 341 484 682 961 968 1331 1364 1922 2662 2728 3751 3844 5324 7502 7688 10571 10648 14641 15004 21142 29282 30008 41261 42284 58564 82522 84568 116281 117128 165044 232562 278143 330088 453871 465124 556286 907742 930248 1112572 1279091 1815484 2225144 2558182 3059573 3630968 5116364 6119146 8622433 10232728 12238292 14070001 17244866 24476584 28140002 33655303 34489732 56280004 67310606 68979464 94846763 112560008 134621212 189693526 267295423 269242424 370208333 379387052 534590846 740416666 758774104 1043314393 1069181692 1480833332 2086628786 2138363384 2940249653 2961666664 4072291663 4173257572 5880499306 8144583326 8346515144 11476458323 11760998612 16289166652 22952916646 23521997224 32342746183 32578333304 45905833292 64685492366 91811666584 126241041553 129370984732 252482083106 258741969464 355770208013 504964166212 711540416026 1009928332424 1423080832052 2846161664104 3913472288143 7826944576286 15653889152572 31307778305144