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344314113314140 = 225171741581670631
BaseRepresentation
bin100111001001001101110000…
…0011010100100110101011100
31200011010002220120011222012101
41032102123200122210311130
5330112220301002023030
63220143415305014444
7132344605463625004
oct11622334032446534
91604102816158171
10344314113314140
119a788882796242
123274a46ba84424
1311a178b252b458
146104c6b925004
1529c1600c5c7ca
hex13926e06a4d5c

344314113314140 has 48 divisors (see below), whose sum is σ = 766032302153664. Its totient is φ = 129549682713600.

The previous prime is 344314113314071. The next prime is 344314113314159. The reversal of 344314113314140 is 41413311413443.

It is a self number, because there is not a number n which added to its sum of digits gives 344314113314140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290243376 + ... + 291427255.

It is an arithmetic number, because the mean of its divisors is an integer number (15959006294868).

Almost surely, 2344314113314140 is an apocalyptic number.

It is an amenable number.

344314113314140 is an abundant number, since it is smaller than the sum of its proper divisors (421718188839524).

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

344314113314140 is a wasteful number, since it uses less digits than its factorization.

344314113314140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581672398 (or 581672396 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

Adding to 344314113314140 its reverse (41413311413443), we get a palindrome (385727424727583).

The spelling of 344314113314140 in words is "three hundred forty-four trillion, three hundred fourteen billion, one hundred thirteen million, three hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 1741 3482 6964 8705 17410 29597 34820 59194 118388 147985 295970 591940 581670631 1163341262 2326682524 2908353155 5816706310 9888400727 11633412620 19776801454 39553602908 49442003635 98884007270 197768014540 1012688568571 2025377137142 4050754274284 5063442842855 10126885685710 17215705665707 20253771371420 34431411331414 68862822662828 86078528328535 172157056657070 344314113314140