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314032455605640 = 23358833771778577
BaseRepresentation
bin100011101100111000110000…
…0111101101101110110001000
31112011220012122202211010122210
41013121301200331231312020
5312130101432113340030
63031520303555345120
7123101044666215462
oct10731614075556610
91464805582733583
10314032455605640
119107346441aa92
122b279715bb21a0
131062c1973a8535
1457793754c5132
152648a88c42bb0
hex11d9c60f6dd88

314032455605640 has 128 divisors (see below), whose sum is σ = 943201304472960. Its totient is φ = 83643867869184.

The previous prime is 314032455605621. The next prime is 314032455605641. The reversal of 314032455605640 is 46506554230413.

It is a self number, because there is not a number n which added to its sum of digits gives 314032455605640.

It is not an unprimeable number, because it can be changed into a prime (314032455605641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3996454032 + ... + 3996532608.

It is an arithmetic number, because the mean of its divisors is an integer number (7368760191195).

Almost surely, 2314032455605640 is an apocalyptic number.

314032455605640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314032455605640 is an abundant number, since it is smaller than the sum of its proper divisors (629168848867320).

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

314032455605640 is a wasteful number, since it uses less digits than its factorization.

314032455605640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117191 (or 117187 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 48.

The spelling of 314032455605640 in words is "three hundred fourteen trillion, thirty-two billion, four hundred fifty-five million, six hundred five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 883 1766 2649 3532 4415 5298 7064 8830 10596 13245 17660 21192 26490 35320 37717 52980 75434 78577 105960 113151 150868 157154 188585 226302 235731 301736 314308 377170 392885 452604 471462 565755 628616 754340 785770 905208 942924 1131510 1178655 1508680 1571540 1885848 2263020 2357310 3143080 4526040 4714620 9429240 33304111 66608222 69383491 99912333 133216444 138766982 166520555 199824666 208150473 266432888 277533964 333041110 346917455 399649332 416300946 499561665 555067928 666082220 693834910 799298664 832601892 999123330 1040752365 1332164440 1387669820 1665203784 1998246660 2081504730 2775339640 2963688709 3996493320 4163009460 5927377418 8326018920 8891066127 11854754836 14818443545 17782132254 23709509672 29636887090 35564264508 44455330635 59273774180 71128529016 88910661270 118547548360 177821322540 355642645080 2616937130047 5233874260094 7850811390141 10467748520188 13084685650235 15701622780282 20935497040376 26169371300470 31403245560564 39254056950705 52338742600940 62806491121128 78508113901410 104677485201880 157016227802820 314032455605640