Search a number
-
+
40132423104 = 263209023037
BaseRepresentation
bin100101011000000101…
…000010110111000000
310211120220020022211220
4211120011002313000
51124142400014404
630234145035040
72620342652664
oct453005026700
9124526208756
1040132423104
1116024785524
127940325a80
133a27638c27
141d29ddc8a4
15109d4434d9
hex958142dc0

40132423104 has 28 divisors (see below), whose sum is σ = 106183703304. Its totient is φ = 13377474304.

The previous prime is 40132423087. The next prime is 40132423117.

40132423104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×401324231042 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 104511327 + ... + 104511710.

It is an arithmetic number, because the mean of its divisors is an integer number (3792275118).

Almost surely, 240132423104 is an apocalyptic number.

It is an amenable number.

40132423104 is an abundant number, since it is smaller than the sum of its proper divisors (66051280200).

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

40132423104 is a wasteful number, since it uses less digits than its factorization.

40132423104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209023052 (or 209023042 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 40132423104 in words is "forty billion, one hundred thirty-two million, four hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 209023037 418046074 627069111 836092148 1254138222 1672184296 2508276444 3344368592 5016552888 6688737184 10033105776 13377474368 20066211552 40132423104