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1231842816 = 29359901
BaseRepresentation
bin100100101101100…
…0110111000000000
310011211221002200000
41021123012320000
510010322432231
6322122400000
742345330321
oct11133067000
93154832600
101231842816
11582385816
122a4660000
13168293199
14b985c448
157322a6e6
hex496c6e00

1231842816 has 120 divisors (see below), whose sum is σ = 3687227544. Its totient is φ = 410572800.

The previous prime is 1231842779. The next prime is 1231842839. The reversal of 1231842816 is 6182481321.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119466 + ... + 129366.

Almost surely, 21231842816 is an apocalyptic number.

1231842816 is a gapful number since it is divisible by the number (16) 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 1231842816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843613772).

1231842816 is an abundant number, since it is smaller than the sum of its proper divisors (2455384728).

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

1231842816 is an frugal number, since it uses more digits than its factorization.

1231842816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9934 (or 9906 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 1231842816 is about 35097.6183807392. The cubic root of 1231842816 is about 1071.9760891674.

The spelling of 1231842816 in words is "one billion, two hundred thirty-one million, eight hundred forty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1152 1296 1536 1728 1944 2304 2592 3456 3888 4608 5184 6912 7776 9901 10368 13824 15552 19802 20736 29703 31104 39604 41472 59406 62208 79208 89109 118812 124416 158416 178218 237624 267327 316832 356436 475248 534654 633664 712872 801981 950496 1069308 1267328 1425744 1603962 1900992 2138616 2405943 2534656 2851488 3207924 3801984 4277232 4811886 5069312 5702976 6415848 7603968 8554464 9623772 11405952 12831696 15207936 17108928 19247544 22811904 25663392 34217856 38495088 45623808 51326784 68435712 76990176 102653568 136871424 153980352 205307136 307960704 410614272 615921408 1231842816