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42422400422424 = 23321153563636897
BaseRepresentation
bin10011010010101001111000…
…00110111001001000011000
312120012112122000200121001100
421221110330012321020120
521030022034002004144
6230120325352151400
711635626425642601
oct1151247406711030
9176175560617040
1042422400422424
111257626a0a8160
1249118b4098560
131a8955224aa99
14a69380142da8
154d8785e6a269
hex26953c1b9218

42422400422424 has 48 divisors (see below), whose sum is σ = 125338910341320. Its totient is φ = 12855272855040.

The previous prime is 42422400422377. The next prime is 42422400422443.

42422400422424 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 2 + 400 + 4 + 2 + 242 + 4 = 666.

42422400422424 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26781817657 + ... + 26781819240.

Almost surely, 242422400422424 is an apocalyptic number.

42422400422424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42422400422424 is an abundant number, since it is smaller than the sum of its proper divisors (82916509918896).

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

42422400422424 is a wasteful number, since it uses less digits than its factorization.

42422400422424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53563636920 (or 53563636913 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

It can be divided in two parts, 42422400 and 422424, that added together give a palindrome (42844824).

The spelling of 42422400422424 in words is "forty-two trillion, four hundred twenty-two billion, four hundred million, four hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 53563636897 107127273794 160690910691 214254547588 321381821382 428509095176 482072732073 589200005867 642763642764 964145464146 1178400011734 1285527285528 1767600017601 1928290928292 2356800023468 3535200035202 3856581856584 4713600046936 5302800052803 7070400070404 10605600105606 14140800140808 21211200211212 42422400422424