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40502131400 = 2352375473261
BaseRepresentation
bin100101101110000111…
…010111101011001000
310212112122220110021202
4211232013113223020
51130422021201100
630334553123332
72632452302513
oct455607275310
9125478813252
1040502131400
11161a4440875
127a240b9548
133a86102833
141d63159d7a
1510c0b217d5
hex96e1d7ac8

40502131400 has 48 divisors (see below), whose sum is σ = 96712539540. Its totient is φ = 15762988800.

The previous prime is 40502131381. The next prime is 40502131441. The reversal of 40502131400 is 413120504.

It can be written as a sum of positive squares in 6 ways, for example, as 29322452644 + 11179678756 = 171238^2 + 105734^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2729231 + ... + 2744030.

Almost surely, 240502131400 is an apocalyptic number.

40502131400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40502131400 is an abundant number, since it is smaller than the sum of its proper divisors (56210408140).

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

40502131400 is a wasteful number, since it uses less digits than its factorization.

40502131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5473314 (or 5473305 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 40502131400 its reverse (413120504), we get a palindrome (40915251904).

The spelling of 40502131400 in words is "forty billion, five hundred two million, one hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 740 925 1480 1850 3700 7400 5473261 10946522 21893044 27366305 43786088 54732610 109465220 136831525 202510657 218930440 273663050 405021314 547326100 810042628 1012553285 1094652200 1620085256 2025106570 4050213140 5062766425 8100426280 10125532850 20251065700 40502131400