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1314700464 = 2437112271567
BaseRepresentation
bin100111001011100…
…1011110010110000
310101121211200222210
41032113023302300
510143030403324
6334242332120
744402524650
oct11627136260
93347750883
101314700464
11615128a10
1230835a040
1317c4b418c
14c686a360
157a645d29
hex4e5cbcb0

1314700464 has 160 divisors (see below), whose sum is σ = 4255727616. Its totient is φ = 339759360.

The previous prime is 1314700463. The next prime is 1314700469. The reversal of 1314700464 is 4640074131.

It is not an unprimeable number, because it can be changed into a prime (1314700463) 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, 838209 + ... + 839775.

Almost surely, 21314700464 is an apocalyptic number.

1314700464 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 1314700464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127863808).

1314700464 is an abundant number, since it is smaller than the sum of its proper divisors (2941027152).

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

1314700464 is a wasteful number, since it uses less digits than its factorization.

1314700464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 1314700464 is about 36258.7984356901. The cubic root of 1314700464 is about 1095.4913147251.

Adding to 1314700464 its reverse (4640074131), we get a palindrome (5954774595).

The spelling of 1314700464 in words is "one billion, three hundred fourteen million, seven hundred thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 227 231 264 308 336 454 462 528 616 681 908 924 1232 1362 1567 1589 1816 1848 2497 2724 3134 3178 3632 3696 4701 4767 4994 5448 6268 6356 7491 9402 9534 9988 10896 10969 12536 12712 14982 17237 17479 18804 19068 19976 21938 25072 25424 29964 32907 34474 34958 37608 38136 39952 43876 51711 52437 59928 65814 68948 69916 75216 76272 87752 103422 104874 119856 120659 131628 137896 139832 175504 206844 209748 241318 263256 275792 279664 355709 361977 413688 419496 482636 526512 711418 723954 827376 838992 965272 1067127 1422836 1447908 1930544 2134254 2489963 2845672 2895816 3912799 4268508 4979926 5691344 5791632 7469889 7825598 8537016 9959852 11738397 14939778 15651196 17074032 19919704 23476794 27389593 29879556 31302392 39839408 46953588 54779186 59759112 62604784 82168779 93907176 109558372 119518224 164337558 187814352 219116744 328675116 438233488 657350232 1314700464