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3354025253344 = 252341413326893
BaseRepresentation
bin110000110011101011011…
…110111101100111100000
3102212122022210020112100021
4300303223132331213200
5414423020431101334
611044452401203224
7464214605154613
oct60635336754740
912778283215307
103354025253344
1110834858a8487
12462048330514
131b438b32252c
14b849b1b417a
155c3a4d5a3b4
hex30ceb7bd9e0

3354025253344 has 96 divisors (see below), whose sum is σ = 7060361765184. Its totient is φ = 1564537835520.

The previous prime is 3354025253333. The next prime is 3354025253417. The reversal of 3354025253344 is 4433525204533.

It is a happy number.

It is a super-2 number, since 2×33540252533442 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3354025253344.

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, 124703962 + ... + 124730854.

It is an arithmetic number, because the mean of its divisors is an integer number (73545435054).

Almost surely, 23354025253344 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 3354025253344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3530180882592).

3354025253344 is an abundant number, since it is smaller than the sum of its proper divisors (3706336511840).

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

3354025253344 is a wasteful number, since it uses less digits than its factorization.

3354025253344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31100 (or 31092 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 43.

The spelling of 3354025253344 in words is "three trillion, three hundred fifty-four billion, twenty-five million, two hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 23 32 41 46 82 92 164 184 328 368 656 736 943 1312 1886 3772 4133 7544 8266 15088 16532 26893 30176 33064 53786 66128 95059 107572 132256 169453 190118 215144 338906 380236 430288 618539 677812 760472 860576 1102613 1237078 1355624 1520944 2205226 2474156 2711248 3041888 3897419 4410452 4948312 5422496 7794838 8820904 9896624 15589676 17641808 19793248 25360099 31179352 35283616 50720198 62358704 101440396 111148769 124717408 202880792 222297538 405761584 444595076 811523168 889190152 1778380304 2556421687 3556760608 4557099529 5112843374 9114199058 10225686748 18228398116 20451373496 36456796232 40902746992 72913592464 81805493984 104813289167 145827184928 209626578334 419253156668 838506313336 1677012626672 3354025253344