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400244240200 = 23527240841249
BaseRepresentation
bin1011101001100000110…
…10100110111101001000
31102021002201011001120011
411310300122212331020
523024200011141300
6503511503041304
740626265623400
oct5646032467510
91367081131504
10400244240200
11144819491702
12656a0ba0234
132b98711517c
141552c7bd800
15a628090eba
hex5d306a6f48

400244240200 has 72 divisors (see below), whose sum is σ = 1082497331250. Its totient is φ = 137226593280.

The previous prime is 400244240197. The next prime is 400244240219. The reversal of 400244240200 is 2042442004.

It can be written as a sum of positive squares in 3 ways, for example, as 149337419364 + 250906820836 = 386442^2 + 500906^2 .

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 17 ways as a sum of consecutive naturals, for example, 20410825 + ... + 20430424.

Almost surely, 2400244240200 is an apocalyptic number.

400244240200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400244240200 is an abundant number, since it is smaller than the sum of its proper divisors (682253091050).

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

400244240200 is a wasteful number, since it uses less digits than its factorization.

400244240200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40841279 (or 40841263 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 400244240200 its reverse (2042442004), we get a palindrome (402286682204).

The spelling of 400244240200 in words is "four hundred billion, two hundred forty-four million, two hundred forty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4900 9800 40841249 81682498 163364996 204206245 285888743 326729992 408412490 571777486 816824980 1021031225 1143554972 1429443715 1633649960 2001221201 2042062450 2287109944 2858887430 4002442402 4084124900 5717774860 7147218575 8004884804 8168249800 10006106005 11435549720 14294437150 16009769608 20012212010 28588874300 40024424020 50030530025 57177748600 80048848040 100061060050 200122120100 400244240200