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42232414144240 = 2451113174742359
BaseRepresentation
bin10011001101001000000000…
…00010110000011011110000
312112112101020112222200110201
421212210000002300123300
521013413441010103430
6225453145255004544
711616122410141045
oct1146440002603360
9175471215880421
1042232414144240
1112502736873411
1248a0b12069754
131a746657119b8
14a600b9d571cc
154d3866bb48ca
hex2669000b06f0

42232414144240 has 40 divisors (see below), whose sum is σ = 98191265669280. Its totient is φ = 16892810340096.

The previous prime is 42232414144229. The next prime is 42232414144259. The reversal of 42232414144240 is 4244141423224.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-4 number, since 4×422324141442404 (a number of 56 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42232414144240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6534181 + ... + 11276539.

It is an arithmetic number, because the mean of its divisors is an integer number (2454781641732).

Almost surely, 242232414144240 is an apocalyptic number.

42232414144240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42232414144240 is an abundant number, since it is smaller than the sum of its proper divisors (55958851525040).

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

42232414144240 is a wasteful number, since it uses less digits than its factorization.

42232414144240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4853689 (or 4853683 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 37.

Adding to 42232414144240 its reverse (4244141423224), we get a palindrome (46476555567464).

The spelling of 42232414144240 in words is "forty-two trillion, two hundred thirty-two billion, four hundred fourteen million, one hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 111317 222634 445268 556585 890536 1113170 1781072 2226340 4452680 4742359 8905360 9484718 18969436 23711795 37938872 47423590 75877744 94847180 189694360 379388720 527905176803 1055810353606 2111620707212 2639525884015 4223241414424 5279051768030 8446482828848 10558103536060 21116207072120 42232414144240