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1314603472 = 2471317173307
BaseRepresentation
bin100111001011011…
…0100000111010000
310101121122202221111
41032112310013100
510143014302342
6334240303104
744401642120
oct11626640720
93347582844
101314603472
11615072056
12308311a94
1317c47bca0
14c6842c80
157a627217
hex4e5b41d0

1314603472 has 160 divisors (see below), whose sum is σ = 3349285632. Its totient is φ = 485056512.

The previous prime is 1314603463. The next prime is 1314603473. The reversal of 1314603472 is 2743064131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314603473) 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, 4281943 + ... + 4282249.

Almost surely, 21314603472 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 1314603472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674642816).

1314603472 is an abundant number, since it is smaller than the sum of its proper divisors (2034682160).

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

1314603472 is a wasteful number, since it uses less digits than its factorization.

1314603472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 1314603472 is about 36257.4609149620. The cubic root of 1314603472 is about 1095.4643741127.

The spelling of 1314603472 in words is "one billion, three hundred fourteen million, six hundred three thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 34 52 56 68 91 104 112 119 136 173 182 208 221 238 272 307 346 364 442 476 614 692 728 884 952 1211 1228 1384 1456 1547 1768 1904 2149 2249 2422 2456 2768 2941 3094 3536 3991 4298 4498 4844 4912 5219 5882 6188 7982 8596 8996 9688 10438 11764 12376 15743 15964 17192 17992 19376 20587 20876 23528 24752 27937 31486 31928 34384 35984 36533 38233 41174 41752 47056 53111 55874 62972 63856 67847 73066 76466 82348 83504 106222 111748 125944 135694 146132 152932 164696 212444 223496 251888 267631 271388 292264 305864 329392 371777 424888 446992 474929 535262 542776 584528 611728 690443 743554 849776 902887 949858 1070524 1085552 1380886 1487108 1805774 1899716 2141048 2761772 2974216 3611548 3799432 4282096 4833101 5523544 5948432 6320209 7223096 7598864 9666202 11047088 11737531 12640418 14446192 19332404 23475062 25280836 38664808 46950124 50561672 77329616 82162717 93900248 101123344 164325434 187800496 328650868 657301736 1314603472