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1410164633136 = 24373431991893
BaseRepresentation
bin10100100001010100010…
…111001010111000110000
311222210212210112122210210
4110201110113022320300
5141101004121230021
62555453134024120
7203611123416000
oct24412427127060
94883783478723
101410164633136
114a4058199646
121a9371348040
13a2c937478ac
144c376586000
1526a356dce76
hex148545cae30

1410164633136 has 160 divisors (see below), whose sum is σ = 4347109465600. Its totient is φ = 393534118656.

The previous prime is 1410164633099. The next prime is 1410164633159. The reversal of 1410164633136 is 6313364610141.

It is a junction number, because it is equal to n+sod(n) for n = 1410164633094 and 1410164633103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287995 + ... + 1703898.

It is an arithmetic number, because the mean of its divisors is an integer number (27169434160).

Almost surely, 21410164633136 is an apocalyptic number.

1410164633136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1410164633136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2173554732800).

1410164633136 is an abundant number, since it is smaller than the sum of its proper divisors (2936944832464).

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

1410164633136 is a wasteful number, since it uses less digits than its factorization.

1410164633136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1991968 (or 1991948 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 1410164633136 in words is "one trillion, four hundred ten billion, one hundred sixty-four million, six hundred thirty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 49 56 84 86 98 112 129 147 168 172 196 258 294 301 336 343 344 392 516 588 602 686 688 784 903 1029 1032 1176 1204 1372 1806 2058 2064 2107 2352 2408 2744 3612 4116 4214 4816 5488 6321 7224 8232 8428 12642 14448 14749 16464 16856 25284 29498 33712 44247 50568 58996 88494 101136 117992 176988 235984 353976 707952 1991893 3983786 5975679 7967572 11951358 13943251 15935144 23902716 27886502 31870288 41829753 47805432 55773004 83659506 85651399 95610864 97602757 111546008 167319012 171302798 195205514 223092016 256954197 292808271 334638024 342605596 390411028 513908394 585616542 599559793 669276048 683219299 685211192 780822056 1027816788 1171233084 1199119586 1366438598 1370422384 1561644112 1798679379 2049657897 2055633576 2342466168 2398239172 2732877196 3597358758 4099315794 4111267152 4196918551 4684932336 4796478344 5465754392 7194717516 8198631588 8393837102 9592956688 10931508784 12590755653 14389435032 16397263176 16787674204 25181511306 28778870064 29378429857 32794526352 33575348408 50363022612 58756859714 67150696816 88135289571 100726045224 117513719428 176270579142 201452090448 235027438856 352541158284 470054877712 705082316568 1410164633136