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1318214604 = 2237192291499
BaseRepresentation
bin100111010010010…
…0101101111001100
310101212110020111010
41032210211233030
510144430331404
6334445525220
744444432160
oct11644455714
93355406433
101318214604
11617109163
12309573810
13180144855
14c7102ca0
157aadc189
hex4e925bcc

1318214604 has 144 divisors (see below), whose sum is σ = 3840480000. Its totient is φ = 344276352.

The previous prime is 1318214603. The next prime is 1318214609. The reversal of 1318214604 is 4064128131.

1318214604 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1318214603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 878647 + ... + 880145.

It is an arithmetic number, because the mean of its divisors is an integer number (26670000).

Almost surely, 21318214604 is an apocalyptic number.

1318214604 is a gapful number since it is divisible by the number (14) 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 1318214604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920240000).

1318214604 is an abundant number, since it is smaller than the sum of its proper divisors (2522265396).

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

1318214604 is a wasteful number, since it uses less digits than its factorization.

1318214604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1318214604 is about 36307.2252313503. The cubic root of 1318214604 is about 1096.4665140195.

The spelling of 1318214604 in words is "one billion, three hundred eighteen million, two hundred fourteen thousand, six hundred four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 29 38 42 57 58 76 84 87 114 116 133 174 203 228 266 348 361 399 406 532 551 609 722 798 812 1083 1102 1218 1444 1499 1596 1653 2166 2204 2436 2527 2998 3306 3857 4332 4497 5054 5996 6612 7581 7714 8994 10108 10469 10493 11571 15162 15428 17988 20938 20986 23142 28481 30324 31407 31479 41876 41972 43471 46284 56962 62814 62958 73283 85443 86942 113924 125628 125916 130413 146566 170886 173884 199367 219849 260826 293132 304297 341772 398734 439698 521652 541139 598101 608594 797468 825949 879396 912891 1082278 1196202 1217188 1623417 1651898 1825782 2164556 2392404 2477847 3246834 3303796 3651564 3787973 4955694 5781643 6493668 7575946 9911388 11363919 11563286 15151892 15693031 17344929 22727838 23126572 31386062 34689858 45455676 47079093 62772124 69379716 94158186 109851217 188316372 219702434 329553651 439404868 659107302 1318214604