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40002013332 = 223210910194193
BaseRepresentation
bin100101010000010011…
…100100100010010100
310211020210211211021100
4211100103210202110
51123411003411312
630213205550100
72614200334401
oct452023444224
9124223754240
1040002013332
1115a68103756
127904715330
133a06608a98
141d169732a8
151091c835dc
hex9504e4894

40002013332 has 36 divisors (see below), whose sum is σ = 102043881940. Its totient is φ = 13211672832.

The previous prime is 40002013309. The next prime is 40002013351. The reversal of 40002013332 is 23331020004.

40002013332 is a `hidden beast` number, since 400 + 0 + 201 + 33 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36178322436 + 3823690896 = 190206^2 + 61836^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×400020133322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 5093173 + ... + 5101020.

Almost surely, 240002013332 is an apocalyptic number.

It is an amenable number.

40002013332 is an abundant number, since it is smaller than the sum of its proper divisors (62041868608).

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

40002013332 is a wasteful number, since it uses less digits than its factorization.

40002013332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10194312 (or 10194307 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 40002013332 its reverse (23331020004), we get a palindrome (63333033336).

The spelling of 40002013332 in words is "forty billion, two million, thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 109 218 327 436 654 981 1308 1962 3924 10194193 20388386 30582579 40776772 61165158 91747737 122330316 183495474 366990948 1111167037 2222334074 3333501111 4444668148 6667002222 10000503333 13334004444 20001006666 40002013332