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40144121820 = 223251120274809
BaseRepresentation
bin100101011000110001…
…101010111111011100
310211121201020200110200
4211120301222333130
51124203343344240
630235243503500
72620544256015
oct453061527734
9124551220420
1040144121820
1116030345990
127944227b90
133a29ba3a4a
141d2b7a600c
15109e4a4930
hex958c6afdc

40144121820 has 72 divisors (see below), whose sum is σ = 132840555120. Its totient is φ = 9731907840.

The previous prime is 40144121807. The next prime is 40144121837. The reversal of 40144121820 is 2812144104.

40144121820 is a `hidden beast` number, since 4 + 0 + 1 + 441 + 218 + 2 + 0 = 666.

It is a super-2 number, since 2×401441218202 (a number of 22 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 23 ways as a sum of consecutive naturals, for example, 10135425 + ... + 10139384.

It is an arithmetic number, because the mean of its divisors is an integer number (1845007710).

Almost surely, 240144121820 is an apocalyptic number.

It is an amenable number.

40144121820 is an abundant number, since it is smaller than the sum of its proper divisors (92696433300).

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

40144121820 is a wasteful number, since it uses less digits than its factorization.

40144121820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20274835 (or 20274830 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 40144121820 its reverse (2812144104), we get a palindrome (42956265924).

The spelling of 40144121820 in words is "forty billion, one hundred forty-four million, one hundred twenty-one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 20274809 40549618 60824427 81099236 101374045 121648854 182473281 202748090 223022899 243297708 304122135 364946562 405496180 446045798 608244270 669068697 729893124 892091596 912366405 1115114495 1216488540 1338137394 1824732810 2007206091 2230228990 2676274788 3345343485 3649465620 4014412182 4460457980 6690686970 8028824364 10036030455 13381373940 20072060910 40144121820