Search a number
-
+
3334243213040 = 245101937440399
BaseRepresentation
bin110000100001010000011…
…000011101111011110000
3102210202021010211202120212
4300201100120131323300
5414112012230304130
611031421415323252
7462614440455665
oct60412030357360
912722233752525
103334243213040
111076054408843
1245a247380528
131b2557b4c73c
14b7541c27a6c
155bae82e4e95
hex3085061def0

3334243213040 has 80 divisors (see below), whose sum is σ = 7837242134400. Its totient is φ = 1319080089600.

The previous prime is 3334243212997. The next prime is 3334243213109. The reversal of 3334243213040 is 403123424333.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33342432130402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3334243212988 and 3334243213006.

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, 7350761 + ... + 7791159.

It is an arithmetic number, because the mean of its divisors is an integer number (97965526680).

Almost surely, 23334243213040 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 3334243213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3918621067200).

3334243213040 is an abundant number, since it is smaller than the sum of its proper divisors (4502998921360).

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

3334243213040 is a wasteful number, since it uses less digits than its factorization.

3334243213040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441450 (or 441444 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 3334243213040 its reverse (403123424333), we get a palindrome (3737366637373).

The spelling of 3334243213040 in words is "three trillion, three hundred thirty-four billion, two hundred forty-three million, two hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 937 1010 1616 1874 2020 3748 4040 4685 7496 8080 9370 14992 18740 37480 74960 94637 189274 378548 440399 473185 757096 880798 946370 1514192 1761596 1892740 2201995 3523192 3785480 4403990 7046384 7570960 8807980 17615960 35231920 44480299 88960598 177921196 222401495 355842392 412653863 444802990 711684784 825307726 889605980 1650615452 1779211960 2063269315 3301230904 3558423920 4126538630 6602461808 8253077260 16506154520 33012309040 41678040163 83356080326 166712160652 208390200815 333424321304 416780401630 666848642608 833560803260 1667121606520 3334243213040