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348909695033440 = 2556871331736143
BaseRepresentation
bin100111101010101001101111…
…0011011100110000001100000
31200202101102220112221210220211
41033111103132123212001200
5331213014023412032230
63234022522350143504
7133330615335002242
oct11725233633460140
91622342815853824
10348909695033440
11a119a852875752
1233171052ab1b94
1311c8c0737c06b8
1462234683d2092
152a50e1dc3a42a
hex13d54de6e6060

348909695033440 has 48 divisors (see below), whose sum is σ = 824311176752448. Its totient is φ = 139561842502656.

The previous prime is 348909695033437. The next prime is 348909695033441. The reversal of 348909695033440 is 44330596909843.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348909695033441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4873992 + ... + 26862151.

It is an arithmetic number, because the mean of its divisors is an integer number (17173149515676).

Almost surely, 2348909695033440 is an apocalyptic number.

It is an amenable number.

348909695033440 is an abundant number, since it is smaller than the sum of its proper divisors (475401481719008).

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

348909695033440 is a wasteful number, since it uses less digits than its factorization.

348909695033440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31804871 (or 31804863 counting only the distinct ones).

The product of its (nonzero) digits is 302330880, while the sum is 67.

The spelling of 348909695033440 in words is "three hundred forty-eight trillion, nine hundred nine billion, six hundred ninety-five million, thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 68713 137426 274852 343565 549704 687130 1099408 1374260 2198816 2748520 5497040 10994080 31736143 63472286 126944572 158680715 253889144 317361430 507778288 634722860 1015556576 1269445720 2538891440 5077782880 2180685593959 4361371187918 8722742375836 10903427969795 17445484751672 21806855939590 34890969503344 43613711879180 69781939006688 87227423758360 174454847516720 348909695033440