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14230507248 = 2433372513547
BaseRepresentation
bin11010100000011010…
…00100111011110000
31100201202012200002000
431100031010323300
5213121002212443
610312025054000
71012434213216
oct152015047360
940652180060
1014230507248
1160428287a1
122911927300
13145a2b7cb9
1498dd5acb6
155844b68d3
hex350344ef0

14230507248 has 160 divisors (see below), whose sum is σ = 42129803520. Its totient is φ = 4595616000.

The previous prime is 14230507231. The next prime is 14230507267. The reversal of 14230507248 is 84270503241.

It is a happy number.

14230507248 is a `hidden beast` number, since 142 + 3 + 0 + 507 + 2 + 4 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4010211 + ... + 4013757.

It is an arithmetic number, because the mean of its divisors is an integer number (263311272).

Almost surely, 214230507248 is an apocalyptic number.

14230507248 is a gapful number since it is divisible by the number (18) 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 14230507248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21064901760).

14230507248 is an abundant number, since it is smaller than the sum of its proper divisors (27899296272).

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

14230507248 is a wasteful number, since it uses less digits than its factorization.

14230507248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3852 (or 3840 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 14230507248 in words is "fourteen billion, two hundred thirty million, five hundred seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 108 111 144 148 216 222 251 296 333 432 444 502 592 666 753 888 999 1004 1332 1506 1776 1998 2008 2259 2664 3012 3547 3996 4016 4518 5328 6024 6777 7094 7992 9036 9287 10641 12048 13554 14188 15984 18072 18574 21282 27108 27861 28376 31923 36144 37148 42564 54216 55722 56752 63846 74296 83583 85128 95769 108432 111444 127692 131239 148592 167166 170256 191538 222888 250749 255384 262478 334332 383076 393717 445776 501498 510768 524956 668664 766152 787434 890297 1002996 1049912 1181151 1337328 1532304 1574868 1780594 2005992 2099824 2362302 2670891 3149736 3543453 3561188 4011984 4724604 5341782 6299472 7086906 7122376 8012673 9449208 10683564 14173812 14244752 16025346 18898416 21367128 24038019 28347624 32050692 32940989 42734256 48076038 56695248 64101384 65881978 96152076 98822967 128202768 131763956 192304152 197645934 263527912 296468901 384608304 395291868 527055824 592937802 790583736 889406703 1185875604 1581167472 1778813406 2371751208 3557626812 4743502416 7115253624 14230507248