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230440413413124 = 22333168829275213
BaseRepresentation
bin110100011001010110010110…
…111110111011111100000100
31010012220212222121212021202000
4310121112112332323330010
5220201013431313204444
62134034510420345300
766352525160163645
oct6431262676737404
91105825877767660
10230440413413124
1167475259891182
1221a18a90245230
139b7758c948565
1440c95385d76cc
151b9943d6ab469
hexd19596fbbf04

230440413413124 has 48 divisors (see below), whose sum is σ = 616710305917440. Its totient is φ = 74335617228960.

The previous prime is 230440413413113. The next prime is 230440413413131. The reversal of 230440413413124 is 421314314044032.

230440413413124 is a `hidden beast` number, since 2 + 30 + 440 + 4 + 1 + 34 + 131 + 24 = 666.

It is a super-2 number, since 2×2304404134131242 (a number of 30 digits) contains 22 as substring.

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

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, 34414634259 + ... + 34414640954.

It is an arithmetic number, because the mean of its divisors is an integer number (12848131373280).

Almost surely, 2230440413413124 is an apocalyptic number.

It is an amenable number.

230440413413124 is an abundant number, since it is smaller than the sum of its proper divisors (386269892504316).

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

230440413413124 is a wasteful number, since it uses less digits than its factorization.

230440413413124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68829275257 (or 68829275249 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 230440413413124 its reverse (421314314044032), we get a palindrome (651754727457156).

The spelling of 230440413413124 in words is "two hundred thirty trillion, four hundred forty billion, four hundred thirteen million, four hundred thirteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1116 1674 3348 68829275213 137658550426 206487825639 275317100852 412975651278 619463476917 825951302556 1238926953834 1858390430751 2133707531603 2477853907668 3716780861502 4267415063206 6401122594809 7433561723004 8534830126412 12802245189618 19203367784427 25604490379236 38406735568854 57610103353281 76813471137708 115220206706562 230440413413124