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3408694271312 = 24111924112793307
BaseRepresentation
bin110001100110100110000…
…000101101110101010000
3110001212102202122101112112
4301212212000231311100
5421322001213140222
611125533232044452
7501161423146631
oct61464600556520
913055382571475
103408694271312
1110a468a062870
12470764993728
131b9591496085
14bada5a49888
155da04577be2
hex319a602dd50

3408694271312 has 160 divisors (see below), whose sum is σ = 7623664435200. Its totient is φ = 1460183500800.

The previous prime is 3408694271261. The next prime is 3408694271387. The reversal of 3408694271312 is 2131724968043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1030749563 + ... + 1030752869.

It is an arithmetic number, because the mean of its divisors is an integer number (47647902720).

Almost surely, 23408694271312 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 3408694271312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3811832217600).

3408694271312 is an abundant number, since it is smaller than the sum of its proper divisors (4214970163888).

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

3408694271312 is a wasteful number, since it uses less digits than its factorization.

3408694271312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4865 (or 4859 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 50.

The spelling of 3408694271312 in words is "three trillion, four hundred eight billion, six hundred ninety-four million, two hundred seventy-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 152 176 209 241 304 418 482 836 964 1279 1672 1928 2558 2651 3307 3344 3856 4579 5116 5302 6614 9158 10232 10604 13228 14069 18316 20464 21208 24301 26456 28138 36377 36632 42416 48602 50369 52912 56276 62833 72754 73264 97204 100738 112552 125666 145508 194408 201476 225104 251332 267311 291016 308239 388816 402952 502664 534622 582032 616478 691163 796987 805904 1005328 1069244 1232956 1382326 1593974 2138488 2465912 2764652 3187948 3390629 4229653 4276976 4931824 5529304 5856541 6375896 6781258 8459306 8766857 11058608 11713082 12751792 13562516 15142753 16918612 17533714 23426164 27125032 30285506 33837224 35067428 46526183 46852328 54250064 60571012 64421951 67674448 70134856 80363407 93052366 93704656 121142024 128843902 140269712 160726814 166570283 186104732 242284048 257687804 321453628 333140566 372209464 515375608 642907256 666281132 744418928 883997477 1019346373 1030751216 1285814512 1332562264 1767994954 2038692746 2665124528 3535989908 4077385492 7071979816 8154770984 11212810103 14143959632 16309541968 19367581087 22425620206 38735162174 44851240412 77470324348 89702480824 154940648696 179404961648 213043391957 309881297392 426086783914 852173567828 1704347135656 3408694271312