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314712135640 = 23571321985027
BaseRepresentation
bin1001001010001100100…
…11100001011111011000
31010002022211101221202201
410211012103201133120
520124012301320030
6400324325135544
731510601005150
oct4450623413730
91102284357681
10314712135640
11111517883591
1250bb055a5b4
13238a5b38806
1411337031760
1582be0b02ca
hex49464e17d8

314712135640 has 64 divisors (see below), whose sum is σ = 809330515200. Its totient is φ = 107891872128.

The previous prime is 314712135629. The next prime is 314712135643. The reversal of 314712135640 is 46531217413.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 314712135640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314712135643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3658807 + ... + 3743833.

It is an arithmetic number, because the mean of its divisors is an integer number (12645789300).

Almost surely, 2314712135640 is an apocalyptic number.

It is an amenable number.

314712135640 is an abundant number, since it is smaller than the sum of its proper divisors (494618379560).

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

314712135640 is a wasteful number, since it uses less digits than its factorization.

314712135640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98264 (or 98260 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 314712135640 in words is "three hundred fourteen billion, seven hundred twelve million, one hundred thirty-five thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 13219 26438 52876 66095 85027 92533 105752 132190 170054 185066 264380 340108 370132 425135 462665 528760 595189 680216 740264 850270 925330 1190378 1700540 1850660 2380756 2975945 3401080 3701320 4761512 5951890 11903780 23807560 1123971913 2247943826 4495887652 5619859565 7867803391 8991775304 11239719130 15735606782 22479438260 31471213564 39339016955 44958876520 62942427128 78678033910 157356067820 314712135640