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316144402912 = 25133494195197
BaseRepresentation
bin1001001100110111010…
…11001100000111100000
31010020000122110200002201
410212123223030013200
520134430431343122
6401122411422544
731561232041402
oct4463353140740
91106018420081
10316144402912
11112092301148
1251330154a54
1323a737a4240
1411431342b72
158354bcaa27
hex499bacc1e0

316144402912 has 96 divisors (see below), whose sum is σ = 673941492000. Its totient is φ = 145119541248.

The previous prime is 316144402909. The next prime is 316144402913. The reversal of 316144402912 is 219204441613.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316144402913) 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, 60829498 + ... + 60834694.

It is an arithmetic number, because the mean of its divisors is an integer number (7020223875).

Almost surely, 2316144402912 is an apocalyptic number.

316144402912 is a gapful number since it is divisible by the number (32) 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 316144402912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336970746000).

316144402912 is an abundant number, since it is smaller than the sum of its proper divisors (357797089088).

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

316144402912 is a wasteful number, since it uses less digits than its factorization.

316144402912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5988 (or 5980 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 316144402912 in words is "three hundred sixteen billion, one hundred forty-four million, four hundred two thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 349 416 419 698 838 1396 1676 2792 3352 4537 5197 5447 5584 6704 9074 10394 10894 11168 13408 18148 20788 21788 36296 41576 43576 67561 72592 83152 87152 135122 145184 146231 166304 174304 270244 292462 540488 584924 1080976 1169848 1813753 1901003 2161952 2177543 2339696 3627506 3802006 4355086 4679392 7255012 7604012 8710172 14510024 15208024 17420344 23578789 28308059 29020048 30416048 34840688 47157578 56616118 58040096 60832096 69681376 94315156 113232236 188630312 226464472 377260624 452928944 754521248 759962507 905857888 1519925014 3039850028 6079700056 9879512591 12159400112 19759025182 24318800224 39518050364 79036100728 158072201456 316144402912