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253130320344 = 2331129293112843
BaseRepresentation
bin1110101110111110111…
…1100010100111011000
3220012101002100121100210
43223233233202213120
513121402330222334
6312141513131120
724200543136066
oct3535757424730
9805332317323
10253130320344
1198396515260
12410849b9aa0
131ab40771955
14c37445d036
1568b7a515e9
hex3aefbe29d8

253130320344 has 128 divisors (see below), whose sum is σ = 716604537600. Its totient is φ = 73807695360.

The previous prime is 253130320343. The next prime is 253130320349. The reversal of 253130320344 is 443023031352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253130320343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2186787 + ... + 2299629.

It is an arithmetic number, because the mean of its divisors is an integer number (5598472950).

Almost surely, 2253130320344 is an apocalyptic number.

253130320344 is a gapful number since it is divisible by the number (24) 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 253130320344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358302268800).

253130320344 is an abundant number, since it is smaller than the sum of its proper divisors (463474217256).

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

253130320344 is a wasteful number, since it uses less digits than its factorization.

253130320344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113185 (or 113181 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 253130320344 its reverse (443023031352), we get a palindrome (696153351696).

The spelling of 253130320344 in words is "two hundred fifty-three billion, one hundred thirty million, three hundred twenty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 293 319 348 586 638 696 879 957 1172 1276 1758 1914 2344 2552 3223 3516 3828 6446 7032 7656 8497 9669 12892 16994 19338 25491 25784 33988 38676 50982 67976 77352 93467 101964 112843 186934 203928 225686 280401 338529 373868 451372 560802 677058 747736 902744 1121604 1241273 1354116 2243208 2482546 2708232 3272447 3723819 4965092 6544894 7447638 9817341 9930184 13089788 14895276 19634682 26179576 29790552 33062999 35996917 39269364 66125998 71993834 78538728 99188997 107990751 132251996 143987668 198377994 215981502 264503992 287975336 363692989 396755988 431963004 727385978 793511976 863926008 958826971 1091078967 1454771956 1917653942 2182157934 2876480913 2909543912 3835307884 4364315868 5752961826 7670615768 8728631736 10547096681 11505923652 21094193362 23011847304 31641290043 42188386724 63282580086 84376773448 126565160172 253130320344