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313336645434 = 23353491222977
BaseRepresentation
bin1001000111101000101…
…00011100011100111010
31002221202222011210221000
410203310110130130322
520113203140123214
6355540031425430
731431526353501
oct4436424343472
91087688153830
10313336645434
1111098140541a
1250887985276
1323716b8c097
141124649d838
15823d45c809
hex48f451c73a

313336645434 has 64 divisors (see below), whose sum is σ = 710889540480. Its totient is φ = 102265712640.

The previous prime is 313336645399. The next prime is 313336645451. The reversal of 313336645434 is 434546633313.

313336645434 is a `hidden beast` number, since 3 + 13 + 3 + 36 + 64 + 543 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 313336645434.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1293754 + ... + 1516730.

It is an arithmetic number, because the mean of its divisors is an integer number (11107649070).

Almost surely, 2313336645434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313336645434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355444770240).

313336645434 is an abundant number, since it is smaller than the sum of its proper divisors (397552895046).

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

313336645434 is a wasteful number, since it uses less digits than its factorization.

313336645434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223532 (or 223526 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 45.

The spelling of 313336645434 in words is "three hundred thirteen billion, three hundred thirty-six million, six hundred forty-five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 318 477 491 954 982 1431 1473 2862 2946 4419 8838 13257 26023 26514 52046 78069 156138 222977 234207 445954 468414 668931 702621 1337862 1405242 2006793 4013586 6020379 11817781 12040758 23635562 35453343 70906686 106360029 109481707 212720058 218963414 319080087 328445121 638160174 656890242 985335363 1970670726 2956006089 5802530471 5912012178 11605060942 17407591413 34815182826 52222774239 104445548478 156668322717 313336645434