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230041140032 = 26112411355863
BaseRepresentation
bin1101011000111110000…
…1010011101101000000
3210222202221222201101102
43112033201103231000
512232111012440112
6253402431553532
722422430266434
oct3261741235500
9728687881342
10230041140032
1189618254360
123870038b8a8
1318901089992
14b1c3b989c4
155eb59c7bc2
hex358f853b40

230041140032 has 56 divisors (see below), whose sum is σ = 500053490112. Its totient is φ = 104130201600.

The previous prime is 230041140011. The next prime is 230041140041.

230041140032 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2300411400322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230041139986 and 230041140013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 508268 + ... + 847595.

Almost surely, 2230041140032 is an apocalyptic number.

230041140032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

230041140032 is an abundant number, since it is smaller than the sum of its proper divisors (270012350080).

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

230041140032 is a wasteful number, since it uses less digits than its factorization.

230041140032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356127 (or 1356117 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 230041 and 140032, that added together give a palindrome (370073).

The spelling of 230041140032 in words is "two hundred thirty billion, forty-one million, one hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 241 352 482 704 964 1928 2651 3856 5302 7712 10604 15424 21208 42416 84832 169664 1355863 2711726 5423452 10846904 14914493 21693808 29828986 43387616 59657972 86775232 119315944 238631888 326762983 477263776 653525966 954527552 1307051932 2614103864 3594392813 5228207728 7188785626 10456415456 14377571252 20912830912 28755142504 57510285008 115020570016 230041140032