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4315005144 = 23321728312457
BaseRepresentation
bin1000000010011000…
…11100000011011000
3102010201102222021100
410001030130003120
532314120131034
61552101311400
7211633636632
oct40114340330
912121388240
104315005144
11191478725a
12a05105560
13539c742a8
142cd111a52
151a3c4a099
hex10131c0d8

4315005144 has 96 divisors (see below), whose sum is σ = 12418632720. Its totient is φ = 1348835328.

The previous prime is 4315005119. The next prime is 4315005169. The reversal of 4315005144 is 4415005134.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4315005119) and next prime (4315005169).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 340164 + ... + 352620.

Almost surely, 24315005144 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 4315005144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6209316360).

4315005144 is an abundant number, since it is smaller than the sum of its proper divisors (8103627576).

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

4315005144 is a wasteful number, since it uses less digits than its factorization.

4315005144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12769 (or 12762 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 4315005144 is about 65688.6987540475. The cubic root of 4315005144 is about 1628.0226369081.

The spelling of 4315005144 in words is "four billion, three hundred fifteen million, five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 283 306 408 566 612 849 1132 1224 1698 2264 2547 3396 4811 5094 6792 9622 10188 12457 14433 19244 20376 24914 28866 37371 38488 43299 49828 57732 74742 86598 99656 112113 115464 149484 173196 211769 224226 298968 346392 423538 448452 635307 847076 896904 1270614 1694152 1905921 2541228 3525331 3811842 5082456 7050662 7623684 10575993 14101324 15247368 21151986 28202648 31727979 42303972 59930627 63455958 84607944 119861254 126911916 179791881 239722508 253823832 359583762 479445016 539375643 719167524 1078751286 1438335048 2157502572 4315005144