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3444402121325 = 52111937151117991
BaseRepresentation
bin110010000111110110010…
…111010110101001101101
3110012021121022021010010222
4302013312113112221231
5422413113420340300
611154200403141125
7503564331650624
oct62076627265155
913167538233128
103444402121325
111108843225010
1247766b3747a5
131bca622471c9
14bc9d21746bb
155e8e432b785
hex321f65d6a6d

3444402121325 has 96 divisors (see below), whose sum is σ = 5070522132480. Its totient is φ = 2293725600000.

The previous prime is 3444402121291. The next prime is 3444402121339. The reversal of 3444402121325 is 5231212044443.

3444402121325 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3444402121325 - 216 = 3444402055789 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29133080 + ... + 29251070.

It is an arithmetic number, because the mean of its divisors is an integer number (52817938880).

Almost surely, 23444402121325 is an apocalyptic number.

It is an amenable number.

3444402121325 is a deficient number, since it is larger than the sum of its proper divisors (1626120011155).

3444402121325 is a wasteful number, since it uses less digits than its factorization.

3444402121325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118219 (or 118214 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 3444402121325 its reverse (5231212044443), we get a palindrome (8675614165768).

The spelling of 3444402121325 in words is "three trillion, four hundred forty-four billion, four hundred two million, one hundred twenty-one thousand, three hundred twenty-five".

Divisors: 1 5 11 19 25 37 55 95 151 185 209 275 407 475 703 755 925 1045 1661 2035 2869 3515 3775 5225 5587 7733 8305 10175 14345 17575 27935 31559 38665 41525 61457 71725 106153 117991 139675 157795 193325 307285 530765 589955 788975 1167683 1297901 1536425 2241829 2653825 2949775 4365667 5838415 6489505 11209145 17816641 21828335 24660119 29192075 32447525 48022337 56045725 82947673 89083205 109141675 123300595 195983051 240111685 338516179 414738365 445416025 616502975 659215717 912424403 979915255 1200558425 1692580895 2073691825 3296078585 3723677969 4562122015 4899576275 7251372887 8462904475 12525098623 16480392925 18618389845 22810610075 36256864435 62625493115 93091949225 137776084853 181284322175 313127465575 688880424265 3444402121325