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22141201124040 = 2335636129006447
BaseRepresentation
bin1010000100011001001100…
…11011011000101011001000
32220101200022101010122210120
411002030212123120223020
510400230134441432130
6115031305525143240
74443435414205425
oct502144633305310
986350271118716
1022141201124040
1170670378a6259
12259714355ab20
13c47ba220607b
145678d5a7cd4c
15285e24243910
hex1423266d8ac8

22141201124040 has 64 divisors (see below), whose sum is σ = 66434047983360. Its totient is φ = 5903391889920.

The previous prime is 22141201124033. The next prime is 22141201124041. The reversal of 22141201124040 is 4042110214122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22141201124040.

It is not an unprimeable number, because it can be changed into a prime (22141201124041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13739904 + ... + 15266543.

It is an arithmetic number, because the mean of its divisors is an integer number (1038031999740).

Almost surely, 222141201124040 is an apocalyptic number.

22141201124040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22141201124040 is an abundant number, since it is smaller than the sum of its proper divisors (44292846859320).

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

22141201124040 is a wasteful number, since it uses less digits than its factorization.

22141201124040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29012822 (or 29012818 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 22141201124040 its reverse (4042110214122), we get a palindrome (26183311338162).

The spelling of 22141201124040 in words is "twenty-two trillion, one hundred forty-one billion, two hundred one million, one hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 6361 12722 19083 25444 31805 38166 50888 63610 76332 95415 127220 152664 190830 254440 381660 763320 29006447 58012894 87019341 116025788 145032235 174038682 232051576 290064470 348077364 435096705 580128940 696154728 870193410 1160257880 1740386820 3480773640 184510009367 369020018734 553530028101 738040037468 922550046835 1107060056202 1476080074936 1845100093670 2214120112404 2767650140505 3690200187340 4428240224808 5535300281010 7380400374680 11070600562020 22141201124040