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313040203398 = 2321323490311863
BaseRepresentation
bin1001000111000101010…
…01100110111010000110
31002221000022100222220100
410203202221212322012
520112101243002043
6355450401544530
731421266553136
oct4434251467206
91087008328810
10313040203398
1111083a0410aa
1250804645146
132369a6388b0
1411218d74ac6
158222402cd3
hex48e2a66e86

313040203398 has 96 divisors (see below), whose sum is σ = 762404557824. Its totient is φ = 92105678016.

The previous prime is 313040203361. The next prime is 313040203409. The reversal of 313040203398 is 893302040313.

313040203398 is a `hidden beast` number, since 3 + 130 + 402 + 0 + 33 + 98 = 666.

It is a super-2 number, since 2×3130402033982 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26382015 + ... + 26393877.

It is an arithmetic number, because the mean of its divisors is an integer number (7941714144).

Almost surely, 2313040203398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313040203398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381202278912).

313040203398 is an abundant number, since it is smaller than the sum of its proper divisors (449364354426).

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

313040203398 is a wasteful number, since it uses less digits than its factorization.

313040203398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16810 (or 16807 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 313040203398 in words is "three hundred thirteen billion, forty million, two hundred three thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 78 117 138 207 234 299 414 598 897 1794 2691 4903 5382 9806 11863 14709 23726 29418 35589 44127 63739 71178 88254 106767 112769 127478 154219 191217 213534 225538 272849 308438 338307 382434 462657 545698 573651 676614 818547 925314 1014921 1147302 1387971 1465997 1637094 2029842 2455641 2775942 2931994 3547037 4397991 4911282 7094074 8795982 10641111 13193973 21282222 26387946 31923333 58164289 63846666 116328578 174492867 348985734 523478601 756135757 1046957202 1337778647 1512271514 2268407271 2675557294 4013335941 4536814542 6805221813 8026671882 12040007823 13610443626 17391122411 24080015646 34782244822 52173367233 104346734466 156520101699 313040203398