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401115144 = 23373283809
BaseRepresentation
bin10111111010001…
…000100000001000
31000221202202112110
4113322020200020
51310141141034
6103445142320
712640264623
oct2772104010
91027682473
10401115144
11196467821
12b23ba9a0
1365142051
143b3b4dba
1525333de9
hex17e88808

401115144 has 64 divisors (see below), whose sum is σ = 1021377600. Its totient is φ = 131245056.

The previous prime is 401115133. The next prime is 401115151. The reversal of 401115144 is 441511104.

It is a super-2 number, since 2×4011151442 = 321786717492281472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 401115144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 495412 + ... + 496220.

It is an arithmetic number, because the mean of its divisors is an integer number (15959025).

Almost surely, 2401115144 is an apocalyptic number.

It is an amenable number.

401115144 is an abundant number, since it is smaller than the sum of its proper divisors (620262456).

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

401115144 is a wasteful number, since it uses less digits than its factorization.

401115144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 401115144 is about 20027.8591966291. The cubic root of 401115144 is about 737.4903686954.

Adding to 401115144 its reverse (441511104), we get a palindrome (842626248).

The spelling of 401115144 in words is "four hundred one million, one hundred fifteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 73 146 219 283 292 438 566 584 809 849 876 1132 1618 1698 1752 2264 2427 3236 3396 4854 6472 6792 9708 19416 20659 41318 59057 61977 82636 118114 123954 165272 177171 228947 236228 247908 354342 457894 472456 495816 686841 708684 915788 1373682 1417368 1831576 2747364 5494728 16713131 33426262 50139393 66852524 100278786 133705048 200557572 401115144