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14156238624 = 25311113118633
BaseRepresentation
bin11010010111100011…
…10000111100100000
31100112120110102200020
431023301300330200
5212442444113444
610300413153440
71010543020503
oct151361607440
940476412606
1014156238624
116004911670
1228b0a8b880
131447ab3578
1498414713a
1557cbe6119
hex34bc70f20

14156238624 has 96 divisors (see below), whose sum is σ = 40897410624. Its totient is φ = 4251770880.

The previous prime is 14156238619. The next prime is 14156238631. The reversal of 14156238624 is 42683265141.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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, 60012 + ... + 178644.

It is an arithmetic number, because the mean of its divisors is an integer number (426014694).

Almost surely, 214156238624 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 14156238624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20448705312).

14156238624 is an abundant number, since it is smaller than the sum of its proper divisors (26741172000).

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

14156238624 is a wasteful number, since it uses less digits than its factorization.

14156238624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118770 (or 118762 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The spelling of 14156238624 in words is "fourteen billion, one hundred fifty-six million, two hundred thirty-eight thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 113 132 176 226 264 339 352 452 528 678 904 1056 1243 1356 1808 2486 2712 3616 3729 4972 5424 7458 9944 10848 14916 19888 29832 39776 59664 118633 119328 237266 355899 474532 711798 949064 1304963 1423596 1898128 2609926 2847192 3796256 3914889 5219852 5694384 7829778 10439704 11388768 13405529 15659556 20879408 26811058 31319112 40216587 41758816 53622116 62638224 80433174 107244232 125276448 147460819 160866348 214488464 294921638 321732696 428976928 442382457 589843276 643465392 884764914 1179686552 1286930784 1769529828 2359373104 3539059656 4718746208 7078119312 14156238624