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314689133720 = 23513271655657
BaseRepresentation
bin1001001010001001110…
…11110001110010011000
31010002021020010100001202
410211010323301302120
520123440404234340
6400322144133332
731510201334153
oct4450473616230
91102236110052
10314689133720
111115058a2935
1250ba4907248
13238a1143c00
1411333d64c9a
1582bc069c15
hex4944ef1c98

314689133720 has 96 divisors (see below), whose sum is σ = 777505482720. Its totient is φ = 114556216320.

The previous prime is 314689133711. The next prime is 314689133777. The reversal of 314689133720 is 27331986413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152132 + ... + 807788.

It is an arithmetic number, because the mean of its divisors is an integer number (8099015445).

Almost surely, 2314689133720 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 314689133720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388752741360).

314689133720 is an abundant number, since it is smaller than the sum of its proper divisors (462816349000).

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

314689133720 is a wasteful number, since it uses less digits than its factorization.

314689133720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655765 (or 655748 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 47.

The spelling of 314689133720 in words is "three hundred fourteen billion, six hundred eighty-nine million, one hundred thirty-three thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 71 104 130 142 169 260 284 338 355 520 568 676 710 845 923 1352 1420 1690 1846 2840 3380 3692 4615 6760 7384 9230 11999 18460 23998 36920 47996 59995 95992 119990 239980 479960 655657 1311314 2622628 3278285 5245256 6556570 8523541 13113140 17047082 26226280 34094164 42617705 46551647 68188328 85235410 93103294 110806033 170470820 186206588 221612066 232758235 340941640 372413176 443224132 465516470 554030165 605171411 886448264 931032940 1108060330 1210342822 1862065880 2216120660 2420685644 3025857055 4432241320 4841371288 6051714110 7867228343 12103428220 15734456686 24206856440 31468913372 39336141715 62937826744 78672283430 157344566860 314689133720