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40130233203104 = 2511239477013993
BaseRepresentation
bin10010001111111100011000…
…10010110111100110100000
312021002102010221200012110022
421013332030102313212200
520224443204144444404
6221203324041453012
711311212406024352
oct1107761422674640
9167072127605408
1040130233203104
11118721554a5140
124601611aa1168
1319513598804a5
149ca45692b0d2
15498d2d2978be
hex247f8c4b79a0

40130233203104 has 48 divisors (see below), whose sum is σ = 86549419071360. Its totient is φ = 18164692815360.

The previous prime is 40130233203101. The next prime is 40130233203107.

40130233203104 is nontrivially palindromic in base 10.

40130233203104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40130233203101) and next prime (40130233203107).

It is a super-2 number, since 2×401302332031042 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40130233203101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 238422869 + ... + 238591124.

It is an arithmetic number, because the mean of its divisors is an integer number (1803112897320).

Almost surely, 240130233203104 is an apocalyptic number.

40130233203104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40130233203104 is an abundant number, since it is smaller than the sum of its proper divisors (46419185868256).

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

40130233203104 is a wasteful number, since it uses less digits than its factorization.

40130233203104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477014253 (or 477014245 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 4013023 and 3203104, that added together give a palindrome (7216127).

The spelling of 40130233203104 in words is "forty trillion, one hundred thirty billion, two hundred thirty-three million, two hundred three thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 239 352 478 956 1912 2629 3824 5258 7648 10516 21032 42064 84128 477013993 954027986 1908055972 3816111944 5247153923 7632223888 10494307846 15264447776 20988615692 41977231384 83954462768 114006344327 167908925536 228012688654 456025377308 912050754616 1254069787597 1824101509232 2508139575194 3648203018464 5016279150388 10032558300776 20065116601552 40130233203104