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310434134020340 = 225112128278567777
BaseRepresentation
bin100011010010101101001010…
…0010010001101000011110100
31111201011012202112221002211212
41012211122110102031003310
5311142123101302122330
63020123250012020552
7122250061143334601
oct10645322422150364
91451135675832755
10310434134020340
118aa06416720600
122a99826b461758
131042aa7587a835
1456931412116a8
1525d5186bbe295
hex11a569448d0f4

310434134020340 has 36 divisors (see below), whose sum is σ = 716564079607908. Its totient is φ = 112885139642880.

The previous prime is 310434134020183. The next prime is 310434134020379. The reversal of 310434134020340 is 43020431434013.

It can be written as a sum of positive squares in 2 ways, for example, as 240859784436964 + 69574349583376 = 15519658^2 + 8341124^2 .

It is a junction number, because it is equal to n+sod(n) for n = 310434134020297 and 310434134020306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64139281469 + ... + 64139286308.

Almost surely, 2310434134020340 is an apocalyptic number.

It is an amenable number.

310434134020340 is an abundant number, since it is smaller than the sum of its proper divisors (406129945587568).

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

310434134020340 is a wasteful number, since it uses less digits than its factorization.

310434134020340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128278567808 (or 128278567795 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 310434134020340 its reverse (43020431434013), we get a palindrome (353454565454353).

The spelling of 310434134020340 in words is "three hundred ten trillion, four hundred thirty-four billion, one hundred thirty-four million, twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 128278567777 256557135554 513114271108 641392838885 1282785677770 1411064245547 2565571355540 2822128491094 5644256982188 7055321227735 14110642455470 15521706701017 28221284910940 31043413402034 62086826804068 77608533505085 155217067010170 310434134020340