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36041400042 = 23294319932417
BaseRepresentation
bin100001100100001111…
…000001111011101010
310110000210020211020020
4201210033001323222
51042303044300132
624320204141310
72414065563024
oct414417017352
9113023224206
1036041400042
111431548132a
126b9a237836
133524bc7a1b
141a5c953014
15e0e1dd52c
hex8643c1eea

36041400042 has 64 divisors (see below), whose sum is σ = 76372433280. Its totient is φ = 11319404544.

The previous prime is 36041400023. The next prime is 36041400049. The reversal of 36041400042 is 24000414063.

It is a junction number, because it is equal to n+sod(n) for n = 36041399985 and 36041400021.

It is not an unprimeable number, because it can be changed into a prime (36041400049) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 14910418 + ... + 14912834.

It is an arithmetic number, because the mean of its divisors is an integer number (1193319270).

Almost surely, 236041400042 is an apocalyptic number.

36041400042 is an abundant number, since it is smaller than the sum of its proper divisors (40331033238).

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

36041400042 is a wasteful number, since it uses less digits than its factorization.

36041400042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4487.

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 36041400042 in words is "thirty-six billion, forty-one million, four hundred thousand, forty-two".

Divisors: 1 2 3 6 29 43 58 86 87 129 174 258 1247 1993 2417 2494 3741 3986 4834 5979 7251 7482 11958 14502 57797 70093 85699 103931 115594 140186 171398 173391 207862 210279 257097 311793 346782 420558 514194 623586 2485271 3013999 4817081 4970542 6027998 7455813 9041997 9634162 14451243 14911626 18083994 28902486 139695349 207134483 279390698 414268966 419086047 621403449 838172094 1242806898 6006900007 12013800014 18020700021 36041400042