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46114302312 = 233213300116417
BaseRepresentation
bin101010111100101000…
…000110100101101000
311102000210012021110200
4222330220012211220
51223420230133222
633103513312200
73221520050031
oct527450064550
9142023167420
1046114302312
1118614359951
128b2b705660
13446ba2ba20
142336651a88
1512ed69beac
hexabca06968

46114302312 has 96 divisors (see below), whose sum is σ = 134553062280. Its totient is φ = 14183424000.

The previous prime is 46114302287. The next prime is 46114302329. The reversal of 46114302312 is 21320341164.

It is a happy number.

46114302312 is a `hidden beast` number, since 4 + 611 + 4 + 30 + 2 + 3 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27005663556 + 19108638756 = 164334^2 + 138234^2 .

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, 2800728 + ... + 2817144.

Almost surely, 246114302312 is an apocalyptic number.

It is an amenable number.

46114302312 is an abundant number, since it is smaller than the sum of its proper divisors (88438759968).

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

46114302312 is a wasteful number, since it uses less digits than its factorization.

46114302312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19443 (or 19436 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 46114302312 its reverse (21320341164), we get a palindrome (67434643476).

The spelling of 46114302312 in words is "forty-six billion, one hundred fourteen million, three hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 3001 6002 9003 12004 16417 18006 24008 27009 32834 36012 39013 49251 54018 65668 72024 78026 98502 108036 117039 131336 147753 156052 197004 213421 216072 234078 295506 312104 351117 394008 426842 468156 591012 640263 702234 853684 936312 1182024 1280526 1404468 1707368 1920789 2561052 2808936 3841578 5122104 7683156 15366312 49267417 98534834 147802251 197069668 295604502 394139336 443406753 591209004 640476421 886813506 1182418008 1280952842 1773627012 1921429263 2561905684 3547254024 3842858526 5123811368 5764287789 7685717052 11528575578 15371434104 23057151156 46114302312