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20242131140 = 225711210111831
BaseRepresentation
bin10010110110100001…
…100110100011000100
31221020201010210201202
4102312201212203010
5312423441144030
613144335042032
71314422163410
oct226641464304
957221123652
1020242131140
118648178800
123b0b070318
131ba78c37ba
14da0513d40
157d7148745
hex4b68668c4

20242131140 has 144 divisors (see below), whose sum is σ = 53932338432. Its totient is φ = 6246240000.

The previous prime is 20242131131. The next prime is 20242131209. The reversal of 20242131140 is 4113124202.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1705025 + ... + 1716855.

It is an arithmetic number, because the mean of its divisors is an integer number (374530128).

Almost surely, 220242131140 is an apocalyptic number.

20242131140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20242131140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26966169216).

20242131140 is an abundant number, since it is smaller than the sum of its proper divisors (33690207292).

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

20242131140 is a wasteful number, since it uses less digits than its factorization.

20242131140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11970 (or 11957 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 20242131140 its reverse (4113124202), we get a palindrome (24355255342).

The spelling of 20242131140 in words is "twenty billion, two hundred forty-two million, one hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 101 110 121 140 154 202 220 242 308 385 404 484 505 605 707 770 847 1010 1111 1210 1414 1540 1694 2020 2222 2420 2828 3388 3535 4235 4444 5555 7070 7777 8470 11110 11831 12221 14140 15554 16940 22220 23662 24442 31108 38885 47324 48884 59155 61105 77770 82817 85547 118310 122210 130141 155540 165634 171094 236620 244420 260282 331268 342188 414085 427735 520564 650705 828170 855470 910987 1194931 1301410 1431551 1656340 1710940 1821974 2389862 2602820 2863102 3643948 4554935 4779724 5726204 5974655 7157755 8364517 9109870 10020857 11949310 13144241 14315510 16729034 18219740 20041714 23898620 26288482 28631020 33458068 40083428 41822585 50104285 52576964 65721205 83645170 92009687 100208570 131442410 144586651 167290340 184019374 200417140 262884820 289173302 368038748 460048435 578346604 722933255 920096870 1012106557 1445866510 1840193740 2024213114 2891733020 4048426228 5060532785 10121065570 20242131140