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162144336121243 = 721722730712312269
BaseRepresentation
bin100100110111100000101011…
…100011101000110110011011
3210021002211212120102120002021
4210313200223203220312123
5132223033100021334433
61332504025114115311
746103353542443200
oct4467405343506633
9707084776376067
10162144336121243
1147734032712283
12162287aa11bb37
136c621b72761a8
142c07b83473ca7
1513b2b2da8d22d
hex93782b8e8d9b

162144336121243 has 96 divisors (see below), whose sum is σ = 201497419791360. Its totient is φ = 129642471060480.

The previous prime is 162144336121237. The next prime is 162144336121267. The reversal of 162144336121243 is 342121633441261.

It is a de Polignac number, because none of the positive numbers 2k-162144336121243 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 162144336121243.

It is not an unprimeable number, because it can be changed into a prime (162144306121243) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71460702313 + ... + 71460704581.

It is an arithmetic number, because the mean of its divisors is an integer number (2098931456160).

Almost surely, 2162144336121243 is an apocalyptic number.

162144336121243 is a deficient number, since it is larger than the sum of its proper divisors (39353083670117).

162144336121243 is a wasteful number, since it uses less digits than its factorization.

162144336121243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4065 (or 4058 counting only the distinct ones).

The product of its digits is 497664, while the sum is 43.

The spelling of 162144336121243 in words is "one hundred sixty-two trillion, one hundred forty-four billion, three hundred thirty-six million, one hundred twenty-one thousand, two hundred forty-three".

Divisors: 1 7 17 49 119 227 307 833 1231 1589 2149 2269 3859 5219 8617 11123 15043 15883 20927 27013 36533 38573 60319 69689 111181 146489 189091 255731 270011 279437 377917 487823 515063 696583 1025423 1184713 1890077 1956059 2645419 2793139 3414761 3605441 4750429 4876081 6424589 8292991 8756071 11841911 13692413 18517933 19551973 25238087 33253003 34132567 44972123 47483363 58050937 61292497 82893377 85787159 136863811 158124341 232771021 314804861 332383541 429047479 580253639 600510113 634042553 857493673 1106870387 1458381703 2326684787 2688113797 4203570791 4438297871 6002455711 7748092709 10208671921 10778723401 14577392441 18816796579 31068085097 42017189977 71460703447 75451063807 102041747087 131717576053 194651063771 528157446649 714292229609 1362557446397 3309068084107 9537902124779 23163476588749 162144336121243