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314463076956 = 22337439947509
BaseRepresentation
bin1001001001101110111…
…01011100001001011100
31010001200110202110111000
410210313131130021130
520123010021430311
6400243511030300
731501455023430
oct4446735341134
91101613673430
10314463076956
111113aa233066
1250b4106b390
1323866365702
1411311d1c9c0
1582a72b5056
hex493775c25c

314463076956 has 96 divisors (see below), whose sum is σ = 933865856000. Its totient is φ = 89641836864.

The previous prime is 314463076951. The next prime is 314463076957. The reversal of 314463076956 is 659670364413.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314463076951) 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, 141871 + ... + 805638.

Almost surely, 2314463076956 is an apocalyptic number.

314463076956 is a gapful number since it is divisible by the number (36) 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 314463076956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466932928000).

314463076956 is an abundant number, since it is smaller than the sum of its proper divisors (619402779044).

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

314463076956 is a wasteful number, since it uses less digits than its factorization.

314463076956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947968 (or 947960 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 314463076956 in words is "three hundred fourteen billion, four hundred sixty-three million, seventy-six thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 439 756 878 1317 1756 2634 3073 3951 5268 6146 7902 9219 11853 12292 15804 18438 23706 27657 36876 47412 55314 82971 110628 165942 331884 947509 1895018 2842527 3790036 5685054 6632563 8527581 11370108 13265126 17055162 19897689 25582743 26530252 34110324 39795378 51165486 59693067 79590756 102330972 119386134 179079201 238772268 358158402 415956451 716316804 831912902 1247869353 1663825804 2495738706 2911695157 3743608059 4991477412 5823390314 7487216118 8735085471 11230824177 11646780628 14974432236 17470170942 22461648354 26205256413 34940341884 44923296708 52410512826 78615769239 104821025652 157231538478 314463076956