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230214041344 = 2871710174821
BaseRepresentation
bin1101011001100111010…
…0110111111100000000
3211000020000100000101201
43112121310313330000
512232434243310334
6253431525510544
722426630031050
oct3263164677400
9730200300351
10230214041344
11896a6908701
123874a272454
131892ab46751
14b1dcb25560
155ec5c7cc14
hex3599d37f00

230214041344 has 144 divisors (see below), whose sum is σ = 561581608896. Its totient is φ = 91938816000.

The previous prime is 230214041333. The next prime is 230214041357. The reversal of 230214041344 is 443140412032.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 3039454 + ... + 3114274.

It is an arithmetic number, because the mean of its divisors is an integer number (3899872284).

Almost surely, 2230214041344 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 230214041344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280790804448).

230214041344 is an abundant number, since it is smaller than the sum of its proper divisors (331367567552).

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

230214041344 is a wasteful number, since it uses less digits than its factorization.

230214041344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74962 (or 74948 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 230214041344 its reverse (443140412032), we get a palindrome (673354453376).

The spelling of 230214041344 in words is "two hundred thirty billion, two hundred fourteen million, forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 101 112 119 128 136 202 224 238 256 272 404 448 476 544 707 808 896 952 1088 1414 1616 1717 1792 1904 2176 2828 3232 3434 3808 4352 5656 6464 6868 7616 11312 12019 12928 13736 15232 22624 24038 25856 27472 30464 45248 48076 54944 74821 90496 96152 109888 149642 180992 192304 219776 299284 384608 439552 523747 598568 769216 1047494 1197136 1271957 1538432 2094988 2394272 2543914 3076864 4189976 4788544 5087828 7556921 8379952 8903699 9577088 10175656 15113842 16759904 17807398 19154176 20351312 30227684 33519808 35614796 40702624 52898447 60455368 67039616 71229592 81405248 105796894 120910736 128467657 134079232 142459184 162810496 211593788 241821472 256935314 284918368 325620992 423187576 483642944 513870628 569836736 846375152 899273599 967285888 1027741256 1139673472 1692750304 1798547198 1934571776 2055482512 2279346944 3385500608 3597094396 4110965024 6771001216 7194188792 8221930048 13542002432 14388377584 16443860096 28776755168 32887720192 57553510336 115107020672 230214041344