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13430133240 = 2335437093671
BaseRepresentation
bin11001000000111111…
…11001000111111000
31021122222011110100020
430200133321013320
5210001103230430
610100354210440
7653545151256
oct144037710770
937588143306
1013430133240
115771a61977
122729883a20
131360533b04
149159355d6
155390b8b10
hex3207f91f8

13430133240 has 128 divisors (see below), whose sum is σ = 41296780800. Its totient is φ = 3492195840.

The previous prime is 13430133239. The next prime is 13430133253. The reversal of 13430133240 is 4233103431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13430133240.

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, 3656605 + ... + 3660275.

It is an arithmetic number, because the mean of its divisors is an integer number (322631100).

Almost surely, 213430133240 is an apocalyptic number.

13430133240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13430133240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20648390400).

13430133240 is an abundant number, since it is smaller than the sum of its proper divisors (27866647560).

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

13430133240 is a wasteful number, since it uses less digits than its factorization.

13430133240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4437 (or 4433 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13430133240 its reverse (4233103431), we get a palindrome (17663236671).

The spelling of 13430133240 in words is "thirteen billion, four hundred thirty million, one hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 709 860 1032 1290 1418 1720 2127 2580 2836 3545 3671 4254 5160 5672 7090 7342 8508 10635 11013 14180 14684 17016 18355 21270 22026 28360 29368 30487 36710 42540 44052 55065 60974 73420 85080 88104 91461 110130 121948 146840 152435 157853 182922 220260 243896 304870 315706 365844 440520 457305 473559 609740 631412 731688 789265 914610 947118 1219480 1262824 1578530 1829220 1894236 2367795 2602739 3157060 3658440 3788472 4735590 5205478 6314120 7808217 9471180 10410956 13013695 15616434 18942360 20821912 26027390 31232868 39041085 52054780 62465736 78082170 104109560 111917777 156164340 223835554 312328680 335753331 447671108 559588885 671506662 895342216 1119177770 1343013324 1678766655 2238355540 2686026648 3357533310 4476711080 6715066620 13430133240