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204413131461132 = 2232112237230753141
BaseRepresentation
bin101110011110100110100100…
…000101101001001000001100
3222210202201000121001110201200
4232132212210011221020030
5203243101043123224012
62002430032440305500
761025234645644116
oct5636464405511014
9883681017043650
10204413131461132
115a150138741430
121ab14774172290
138a0a0ca0a5199
1438699111123b6
1518973c46b13dc
hexb9e9a416920c

204413131461132 has 72 divisors (see below), whose sum is σ = 563936680721232. Its totient is φ = 61915682524800.

The previous prime is 204413131461089. The next prime is 204413131461139. The reversal of 204413131461132 is 231164131314402.

204413131461132 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 1 + 3 + 1 + 3 + 1 + 4 + 611 + 32 = 666.

It is a super-2 number, since 2×2044131314611322 (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (204413131461139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114490719 + ... + 116262422.

It is an arithmetic number, because the mean of its divisors is an integer number (7832453898906).

Almost surely, 2204413131461132 is an apocalyptic number.

204413131461132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

204413131461132 is an abundant number, since it is smaller than the sum of its proper divisors (359523549260100).

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

204413131461132 is a wasteful number, since it uses less digits than its factorization.

204413131461132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230755399 (or 230755394 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 204413131461132 its reverse (231164131314402), we get a palindrome (435577262775534).

The spelling of 204413131461132 in words is "two hundred four trillion, four hundred thirteen billion, one hundred thirty-one million, four hundred sixty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 2237 4474 6711 8948 13422 20133 24607 26844 40266 49214 73821 80532 98428 147642 221463 295284 442926 885852 230753141 461506282 692259423 923012564 1384518846 2076778269 2538284551 2769037692 4153556538 5076569102 7614853653 8307113076 10153138204 15229707306 22844560959 30459414612 45689121918 91378243836 516194776417 1032389552834 1548584329251 2064779105668 3097168658502 4645752987753 5678142540587 6194337317004 9291505975506 11356285081174 17034427621761 18583011951012 22712570162348 34068855243522 51103282865283 68137710487044 102206565730566 204413131461132