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42402222220424 = 23111821012646023
BaseRepresentation
bin10011010010000100010010…
…11001001010010010001000
312120010121112202211201121112
421221002021121022102020
521024204222342023144
6230103151215225452
711634313411026413
oct1151021131122210
9176117482751545
1042402222220424
1112568755024360
124909a02518288
131a8768797b7a1
14a683c8310b7a
154d7ea474d99e
hex26908964a488

42402222220424 has 32 divisors (see below), whose sum is σ = 86732327240640. Its totient is φ = 19273624248000.

The previous prime is 42402222220399. The next prime is 42402222220429.

42402222220424 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (42402222220429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14701877 + ... + 17347899.

It is an arithmetic number, because the mean of its divisors is an integer number (2710385226270).

Almost surely, 242402222220424 is an apocalyptic number.

42402222220424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42402222220424 is an abundant number, since it is smaller than the sum of its proper divisors (44330105020216).

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

42402222220424 is a wasteful number, since it uses less digits than its factorization.

42402222220424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2828141 (or 2828137 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

It can be divided in two parts, 4240222 and 2220424, that added together give a palindrome (6460646).

The spelling of 42402222220424 in words is "forty-two trillion, four hundred two billion, two hundred twenty-two million, two hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 182101 364202 728404 1456808 2003111 2646023 4006222 5292046 8012444 10584092 16024888 21168184 29106253 58212506 116425012 232850024 481843434323 963686868646 1927373737292 3854747474584 5300277777553 10600555555106 21201111110212 42402222220424