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131244431304 = 23373773928571
BaseRepresentation
bin111101000111011000…
…1110001011111001000
3110112202122112220110010
41322032301301133020
54122242033300204
6140143131351520
712324234154650
oct1721661613710
9415678486403
10131244431304
115072a072858
12215295b25a0
13c4b795480c
1464d0883360
153632228d89
hex1e8ec717c8

131244431304 has 128 divisors (see below), whose sum is σ = 385653427200. Its totient is φ = 36434292480.

The previous prime is 131244431231. The next prime is 131244431309. The reversal of 131244431304 is 403134442131.

It is not an unprimeable number, because it can be changed into a prime (131244431309) 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, 4579339 + ... + 4607909.

It is an arithmetic number, because the mean of its divisors is an integer number (3012917400).

Almost surely, 2131244431304 is an apocalyptic number.

131244431304 is a gapful number since it is divisible by the number (14) 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 131244431304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192826713600).

131244431304 is an abundant number, since it is smaller than the sum of its proper divisors (254408995896).

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

131244431304 is a wasteful number, since it uses less digits than its factorization.

131244431304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29363 (or 29359 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 131244431304 its reverse (403134442131), we get a palindrome (534378873435).

The spelling of 131244431304 in words is "one hundred thirty-one billion, two hundred forty-four million, four hundred thirty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 444 518 739 777 888 1036 1478 1554 2072 2217 2956 3108 4434 5173 5912 6216 8868 10346 15519 17736 20692 27343 28571 31038 41384 54686 57142 62076 82029 85713 109372 114284 124152 164058 171426 191401 199997 218744 228568 328116 342852 382802 399994 574203 599991 656232 685704 765604 799988 1057127 1148406 1199982 1531208 1599976 2114254 2296812 2399964 3171381 4228508 4593624 4799928 6342762 7399889 8457016 12685524 14799778 21113969 22199667 25371048 29599556 42227938 44399334 59199112 63341907 84455876 88798668 126683814 147797783 168911752 177597336 253367628 295595566 443393349 506735256 591191132 781216853 886786698 1182382264 1562433706 1773573396 2343650559 3124867412 3547146792 4687301118 5468517971 6249734824 9374602236 10937035942 16405553913 18749204472 21874071884 32811107826 43748143768 65622215652 131244431304