Search a number
-
+
42232414440120 = 23351342072622343
BaseRepresentation
bin10011001101001000000000…
…00011111000101010111000
312112112101020120112201100020
421212210000003320222320
521013413441044040440
6225453145305210440
711616122412512502
oct1146440003705270
9175471216481306
1042232414440120
1112502736a55743
1248a0b12190a20
131a746657b6588
14a600b9dd2d72
154d3866c223d0
hex2669000f8ab8

42232414440120 has 64 divisors (see below), whose sum is σ = 126698235678720. Its totient is φ = 11261888974464.

The previous prime is 42232414440119. The next prime is 42232414440143. The reversal of 42232414440120 is 2104441423224.

It is a super-2 number, since 2×422324144401202 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14793669 + ... + 17416011.

It is an arithmetic number, because the mean of its divisors is an integer number (1979659932480).

Almost surely, 242232414440120 is an apocalyptic number.

42232414440120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42232414440120 is an abundant number, since it is smaller than the sum of its proper divisors (84465821238600).

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

42232414440120 is a wasteful number, since it uses less digits than its factorization.

42232414440120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756564 (or 2756560 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 42232414440120 its reverse (2104441423224), we get a palindrome (44336855863344).

The spelling of 42232414440120 in words is "forty-two trillion, two hundred thirty-two billion, four hundred fourteen million, four hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 134207 268414 402621 536828 671035 805242 1073656 1342070 1610484 2013105 2622343 2684140 3220968 4026210 5244686 5368280 7867029 8052420 10489372 13111715 15734058 16104840 20978744 26223430 31468116 39335145 52446860 62936232 78670290 104893720 157340580 314681160 351936787001 703873574002 1055810361003 1407747148004 1759683935005 2111620722006 2815494296008 3519367870010 4223241444012 5279051805015 7038735740020 8446482888024 10558103610030 14077471480040 21116207220060 42232414440120