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1313401419 = 331117594409
BaseRepresentation
bin100111001001000…
…1110101001001011
310101112101201001000
41032102032221023
510142212321134
6334154430043
744355504441
oct11622165113
93345351030
101313401419
11614420a20
12307a32323
1317c14ab05
14c660cb91
157a48ae99
hex4e48ea4b

1313401419 has 64 divisors (see below), whose sum is σ = 2286144000. Its totient is φ = 736312320.

The previous prime is 1313401403. The next prime is 1313401451. The reversal of 1313401419 is 9141043131.

It is not a de Polignac number, because 1313401419 - 24 = 1313401403 is a prime.

It is a super-2 number, since 2×13134014192 = 3450046574862427122, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1313401392 and 1313401401.

It is not an unprimeable number, because it can be changed into a prime (1313401489) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 295687 + ... + 300095.

It is an arithmetic number, because the mean of its divisors is an integer number (35721000).

Almost surely, 21313401419 is an apocalyptic number.

1313401419 is a deficient number, since it is larger than the sum of its proper divisors (972742581).

1313401419 is a wasteful number, since it uses less digits than its factorization.

1313401419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4505 (or 4499 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1313401419 is about 36240.8804942706. The cubic root of 1313401419 is about 1095.1303804218.

The spelling of 1313401419 in words is "one billion, three hundred thirteen million, four hundred one thousand, four hundred nineteen".

Divisors: 1 3 9 11 17 27 33 51 59 99 153 177 187 297 459 531 561 649 1003 1593 1683 1947 3009 4409 5049 5841 9027 11033 13227 17523 27081 33099 39681 48499 74953 99297 119043 145497 224859 260131 297891 436491 674577 780393 824483 1309473 2023731 2341179 2473449 2861441 4422227 7023537 7420347 8584323 13266681 22261041 25752969 39800043 48644497 77258907 119400129 145933491 437800473 1313401419