Search a number
-
+
10141347333060 = 2233546740214717
BaseRepresentation
bin1001001110010011011101…
…1001111100001111000100
31022220111120221011202002000
42103210313121330033010
52312123434404124220
633322512020545300
72064455020013316
oct223446731741704
938814527152060
1010141347333060
11325aa15204459
121179564852230
1358742bbb89c8
14270bb567d7b6
15128bee0a4390
hex9393767c3c4

10141347333060 has 96 divisors (see below), whose sum is σ = 31618419880320. Its totient is φ = 2698568302464.

The previous prime is 10141347333059. The next prime is 10141347333097. The reversal of 10141347333060 is 6033374314101.

10141347333060 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 1 + 347 + 3 + 3 + 306 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19855179 + ... + 20359538.

It is an arithmetic number, because the mean of its divisors is an integer number (329358540420).

Almost surely, 210141347333060 is an apocalyptic number.

10141347333060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10141347333060 is an abundant number, since it is smaller than the sum of its proper divisors (21477072547260).

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

10141347333060 is a wasteful number, since it uses less digits than its factorization.

10141347333060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40215202 (or 40215194 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 10141347333060 in words is "ten trillion, one hundred forty-one billion, three hundred forty-seven million, three hundred thirty-three thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 467 540 934 1401 1868 2335 2802 4203 4670 5604 7005 8406 9340 12609 14010 16812 21015 25218 28020 42030 50436 63045 84060 126090 252180 40214717 80429434 120644151 160858868 201073585 241288302 361932453 402147170 482576604 603220755 723864906 804294340 1085797359 1206441510 1447729812 1809662265 2171594718 2412883020 3619324530 4343189436 5428986795 7238649060 10857973590 18780272839 21715947180 37560545678 56340818517 75121091356 93901364195 112681637034 169022455551 187802728390 225363274068 281704092585 338044911102 375605456780 507067366653 563408185170 676089822204 845112277755 1014134733306 1126816370340 1690224555510 2028269466612 2535336833265 3380449111020 5070673666530 10141347333060