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400272503364 = 22352914200103
BaseRepresentation
bin1011101001100100001…
…10011011001001000100
31102021011200022222100000
411310302012123021010
523024224230101424
6503514352521300
740630061066316
oct5646206331104
91367150288300
10400272503364
11144833436198
12656aa550230
132b98cc2c736
14155324597b6
15a62a7c53c9
hex5d3219b244

400272503364 has 72 divisors (see below), whose sum is σ = 1085455949760. Its totient is φ = 128823325344.

The previous prime is 400272503339. The next prime is 400272503377. The reversal of 400272503364 is 463305272004.

400272503364 is a `hidden beast` number, since 4 + 0 + 0 + 272 + 50 + 336 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7071864 + ... + 7128239.

It is an arithmetic number, because the mean of its divisors is an integer number (15075777080).

Almost surely, 2400272503364 is an apocalyptic number.

It is an amenable number.

400272503364 is an abundant number, since it is smaller than the sum of its proper divisors (685183446396).

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

400272503364 is a wasteful number, since it uses less digits than its factorization.

400272503364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14200151 (or 14200137 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

Adding to 400272503364 its reverse (463305272004), we get a palindrome (863577775368).

The spelling of 400272503364 in words is "four hundred billion, two hundred seventy-two million, five hundred three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 243 261 324 348 486 522 783 972 1044 1566 2349 3132 4698 7047 9396 14094 28188 14200103 28400206 42600309 56800412 85200618 127800927 170401236 255601854 383402781 411802987 511203708 766805562 823605974 1150208343 1235408961 1533611124 1647211948 2300416686 2470817922 3450625029 3706226883 4600833372 4941635844 6901250058 7412453766 11118680649 13802500116 14824907532 22237361298 33356041947 44474722596 66712083894 100068125841 133424167788 200136251682 400272503364