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40360006404 = 2234111612
BaseRepresentation
bin100101100101101001…
…001101001100000100
310212011202110202110000
4211211221031030010
51130124130201104
630312515001300
72626105252104
oct454551151404
9125152422400
1040360006404
11161311981a3
1279a4599230
133a628301c3
141d4c321204
1510b33ea639
hex965a4d304

40360006404 has 45 divisors (see below), whose sum is σ = 105518483301. Its totient is φ = 13452130080.

The previous prime is 40360006381. The next prime is 40360006409. The reversal of 40360006404 is 40460006304.

It is a happy number.

The square root of 40360006404 is 200898.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 870368004 + 39489638400 = 29502^2 + 198720^2 .

It is a super-2 number, since 2×403600064042 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40360006409) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3610584 + ... + 3621744.

Almost surely, 240360006404 is an apocalyptic number.

40360006404 is the 200898-th square number.

It is an amenable number.

40360006404 is an abundant number, since it is smaller than the sum of its proper divisors (65158476897).

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

40360006404 is an frugal number, since it uses more digits than its factorization.

40360006404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22338 (or 11166 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

It can be divided in two parts, 4036000 and 6404, that added together give a palindrome (4042404).

The spelling of 40360006404 in words is "forty billion, three hundred sixty million, six thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 11161 22322 33483 44644 66966 100449 133932 200898 301347 401796 602694 904041 1205388 1808082 3616164 124567921 249135842 373703763 498271684 747407526 1121111289 1494815052 2242222578 3363333867 4484445156 6726667734 10090001601 13453335468 20180003202 40360006404