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204141431104 = 2613597158573
BaseRepresentation
bin1011111000011111000…
…1110000100101000000
3201111220222010011221121
42332013301300211000
511321040201243404
6233440431202024
720514546351112
oct2760761604500
9644828104847
10204141431104
1179637574736
1233692676314
131633432c420
149c4812d3b2
15549bd34e54
hex2f87c70940

204141431104 has 112 divisors (see below), whose sum is σ = 449904551040. Its totient is φ = 91316090880.

The previous prime is 204141431101. The next prime is 204141431107. The reversal of 204141431104 is 401134141402.

It is an interprime number because it is at equal distance from previous prime (204141431101) and next prime (204141431107).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204141431101) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3455962 + ... + 3514534.

It is an arithmetic number, because the mean of its divisors is an integer number (4017004920).

Almost surely, 2204141431104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204141431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224952275520).

204141431104 is an abundant number, since it is smaller than the sum of its proper divisors (245763119936).

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

204141431104 is a wasteful number, since it uses less digits than its factorization.

204141431104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58728 (or 58718 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 204141431104 its reverse (401134141402), we get a palindrome (605275572506).

The spelling of 204141431104 in words is "two hundred four billion, one hundred forty-one million, four hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 59 64 71 104 118 142 208 236 284 416 472 568 767 832 923 944 1136 1534 1846 1888 2272 3068 3692 3776 4189 4544 6136 7384 8378 12272 14768 16756 24544 29536 33512 49088 54457 58573 59072 67024 108914 117146 134048 217828 234292 268096 435656 468584 761449 871312 937168 1522898 1742624 1874336 3045796 3455807 3485248 3748672 4158683 6091592 6911614 8317366 12183184 13823228 16634732 24366368 27646456 33269464 44925491 48732736 54062879 55292912 66538928 89850982 108125758 110585824 133077856 179701964 216251516 221171648 245362297 266155712 359403928 432503032 490724594 718807856 865006064 981449188 1437615712 1730012128 1962898376 2875231424 3189709861 3460024256 3925796752 6379419722 7851593504 12758839444 15703187008 25517678888 51035357776 102070715552 204141431104