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13388707242 = 234313497639
BaseRepresentation
bin11000111100000011…
…10111010110101010
31021120002012210120000
430132001313112222
5204410002112432
610052314243430
7652533063621
oct143601672652
937502183500
1013388707242
115750637a09
122717a26576
131354a8b1a1
149102306b8
1553563457c
hex31e0775aa

13388707242 has 80 divisors (see below), whose sum is σ = 31061184000. Its totient is φ = 4305998880.

The previous prime is 13388707223. The next prime is 13388707259. The reversal of 13388707242 is 24270788331.

13388707242 is a `hidden beast` number, since 1 + 338 + 8 + 70 + 7 + 242 = 666.

It is a super-2 number, since 2×133887072422 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1748859 + ... + 1756497.

It is an arithmetic number, because the mean of its divisors is an integer number (388264800).

Almost surely, 213388707242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13388707242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15530592000).

13388707242 is an abundant number, since it is smaller than the sum of its proper divisors (17672476758).

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

13388707242 is a wasteful number, since it uses less digits than its factorization.

13388707242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8033 (or 8024 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 13388707242 in words is "thirteen billion, three hundred eighty-eight million, seven hundred seven thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 279 349 558 698 837 1047 1674 2094 2511 3141 5022 6282 7639 9423 10819 15278 18846 21638 22917 28269 32457 45834 56538 64914 68751 97371 137502 194742 206253 236809 292113 412506 473618 584226 618759 710427 876339 1237518 1420854 1752678 2131281 2666011 4262562 5332022 6393843 7998033 12787686 15996066 19181529 23994099 38363058 47988198 71982297 82646341 143964594 165292682 215946891 247939023 431893782 495878046 743817069 1487634138 2231451207 4462902414 6694353621 13388707242