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42004202200240 = 2457233261195823
BaseRepresentation
bin10011000110011110111011…
…00011010001110010110000
312111201120012001221202022111
421203033131203101302300
521001144101230401430
6225200244125015104
711563463200465330
oct1143173543216260
9174646161852274
1042004202200240
1112424978105115
1248648423b4494
131a58c965c8147
14a5302b0b50c0
154cc95bab0c2a
hex2633dd8d1cb0

42004202200240 has 80 divisors (see below), whose sum is σ = 116463825266688. Its totient is φ = 13775291152128.

The previous prime is 42004202200223. The next prime is 42004202200297. The reversal of 42004202200240 is 4200220240024.

It is a happy number.

42004202200240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1630585032 + ... + 1630610791.

Almost surely, 242004202200240 is an apocalyptic number.

42004202200240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42004202200240 is an abundant number, since it is smaller than the sum of its proper divisors (74459623066448).

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

42004202200240 is a wasteful number, since it uses less digits than its factorization.

42004202200240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3261195866 (or 3261195860 counting only the distinct ones).

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

Adding to 42004202200240 its reverse (4200220240024), we get a palindrome (46204422440264).

The spelling of 42004202200240 in words is "forty-two trillion, four billion, two hundred two million, two hundred thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 230 280 322 368 460 560 644 805 920 1288 1610 1840 2576 3220 6440 12880 3261195823 6522391646 13044783292 16305979115 22828370761 26089566584 32611958230 45656741522 52179133168 65223916460 75007503929 91313483044 114141853805 130447832920 150015007858 182626966088 228283707610 260895665840 300030015716 365253932176 375037519645 456567415220 525052527503 600060031432 750075039290 913134830440 1050105055006 1200120062864 1500150078580 1826269660880 2100210110012 2625262637515 3000300157160 4200420220024 5250525275030 6000600314320 8400840440048 10501050550060 21002101100120 42004202200240