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3401325265344 = 263107307539293
BaseRepresentation
bin110001011111101110110…
…010001100000111000000
3110001011102012120002201120
4301133232302030013000
5421211403231442334
611122314112432240
7500511003504336
oct61375662140700
913034365502646
103401325265344
1110a1548492596
1246b248b48680
131b89888b1106
14ba8a70b5b56
155d72266d949
hex317eec8c1c0

3401325265344 has 112 divisors (see below), whose sum is σ = 9113050412928. Its totient is φ = 1119518419968.

The previous prime is 3401325265309. The next prime is 3401325265367. The reversal of 3401325265344 is 4435625231043.

It is a junction number, because it is equal to n+sod(n) for n = 3401325265296 and 3401325265305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6037362 + ... + 6576654.

It is an arithmetic number, because the mean of its divisors is an integer number (81366521544).

Almost surely, 23401325265344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3401325265344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4556525206464).

3401325265344 is an abundant number, since it is smaller than the sum of its proper divisors (5711725147584).

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

3401325265344 is a wasteful number, since it uses less digits than its factorization.

3401325265344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539722 (or 539712 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

The spelling of 3401325265344 in words is "three trillion, four hundred one billion, three hundred twenty-five million, two hundred sixty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 192 214 307 321 428 614 642 856 921 1228 1284 1712 1842 2456 2568 3424 3684 4912 5136 6848 7368 9824 10272 14736 19648 20544 29472 32849 58944 65698 98547 131396 197094 262792 394188 525584 539293 788376 1051168 1078586 1576752 1617879 2102336 2157172 3153504 3235758 4314344 6307008 6471516 8628688 12943032 17257376 25886064 34514752 51772128 57704351 103544256 115408702 165562951 173113053 230817404 331125902 346226106 461634808 496688853 662251804 692452212 923269616 993377706 1324503608 1384904424 1846539232 1986755412 2649007216 2769808848 3693078464 3973510824 5298014432 5539617696 7947021648 10596028864 11079235392 15894043296 17715235757 31788086592 35430471514 53145707271 70860943028 106291414542 141721886056 212582829084 283443772112 425165658168 566887544224 850331316336 1133775088448 1700662632672 3401325265344