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1314011916 = 223373175483
BaseRepresentation
bin100111001010010…
…0011101100001100
310101120112201111000
41032110203230030
510142341340131
6334215500300
744363626350
oct11624435414
93346481430
101314011916
116147a8668
12308087690
1317c302959
14c672b460
157a55bce6
hex4e523b0c

1314011916 has 96 divisors (see below), whose sum is σ = 3906362880. Its totient is φ = 374179392.

The previous prime is 1314011903. The next prime is 1314011917. The reversal of 1314011916 is 6191104131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1314011916.

It is not an unprimeable number, because it can be changed into a prime (1314011917) 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, 236911 + ... + 242393.

It is an arithmetic number, because the mean of its divisors is an integer number (40691280).

Almost surely, 21314011916 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 1314011916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953181440).

1314011916 is an abundant number, since it is smaller than the sum of its proper divisors (2592350964).

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

1314011916 is a wasteful number, since it uses less digits than its factorization.

1314011916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5820 (or 5812 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 1314011916 is about 36249.3022829406. The cubic root of 1314011916 is about 1095.3000341265.

The spelling of 1314011916 in words is "one billion, three hundred fourteen million, eleven thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 317 378 634 756 951 1268 1902 2219 2853 3804 4438 5483 5706 6657 8559 8876 10966 11412 13314 16449 17118 19971 21932 26628 32898 34236 38381 39942 49347 59913 65796 76762 79884 98694 115143 119826 148041 153524 197388 230286 239652 296082 345429 460572 592164 690858 1036287 1381716 1738111 2072574 3476222 4145148 5214333 6952444 10428666 12166777 15642999 20857332 24333554 31285998 36500331 46928997 48667108 62571996 73000662 93857994 109500993 146001324 187715988 219001986 328502979 438003972 657005958 1314011916