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204234231344 = 24111327698929
BaseRepresentation
bin1011111000110101001…
…1110000111000110000
3201112011102201220221112
42332031103300320300
511321232430400334
6233453544212452
720520054215543
oct2761523607060
9645142656845
10204234231344
1179684998950
12336b976a128
131634a621b00
149c565a885a
1554a50664ce
hex2f8d4f0e30

204234231344 has 120 divisors (see below), whose sum is σ = 468097383600. Its totient is φ = 85571665920.

The previous prime is 204234231337. The next prime is 204234231449. The reversal of 204234231344 is 443132432402.

204234231344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 204234231344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22868672 + ... + 22877600.

It is an arithmetic number, because the mean of its divisors is an integer number (3900811530).

Almost surely, 2204234231344 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 204234231344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234048691800).

204234231344 is an abundant number, since it is smaller than the sum of its proper divisors (263863152256).

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

204234231344 is a wasteful number, since it uses less digits than its factorization.

204234231344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9743 (or 9724 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 204234231344 its reverse (443132432402), we get a palindrome (647366663746).

The spelling of 204234231344 in words is "two hundred four billion, two hundred thirty-four million, two hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 169 176 208 286 338 572 676 769 1144 1352 1538 1859 2288 2704 3076 3718 6152 7436 8459 8929 9997 12304 14872 16918 17858 19994 29744 33836 35716 39988 67672 71432 79976 98219 109967 116077 129961 135344 142864 159952 196438 219934 232154 259922 392876 439868 464308 519844 785752 879736 928616 1039688 1276847 1429571 1509001 1571504 1759472 1857232 2079376 2553694 2859142 3018002 5107388 5718284 6036004 6866401 10214776 11436568 12072008 13732802 16599011 20429552 22873136 24144016 27465604 33198022 54931208 66396044 75530411 89263213 109862416 132792088 151060822 178526426 265584176 302121644 357052852 604243288 714105704 981895343 1160421769 1208486576 1428211408 1963790686 2320843538 3927581372 4641687076 7855162744 9283374152 12764639459 15710325488 18566748304 25529278918 51058557836 102117115672 204234231344