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20442315040 = 2557171073651
BaseRepresentation
bin10011000010011101…
…001111100100100000
31221202122211012102021
4103002131033210200
5313331213040130
613220245431224
71322402545060
oct230235174440
957678735367
1020442315040
118740176944
123b6610b514
131c0a213704
14dbcd433a0
157e99dc37a
hex4c274f920

20442315040 has 96 divisors (see below), whose sum is σ = 58441025664. Its totient is φ = 6596505600.

The previous prime is 20442315017. The next prime is 20442315043. The reversal of 20442315040 is 4051324402.

It is a happy number.

It is a super-3 number, since 3×204423150403 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 20442314996 and 20442315014.

It is not an unprimeable number, because it can be changed into a prime (20442315043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 517786 + ... + 555865.

It is an arithmetic number, because the mean of its divisors is an integer number (608760684).

Almost surely, 220442315040 is an apocalyptic number.

20442315040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20442315040 is an abundant number, since it is smaller than the sum of its proper divisors (37998710624).

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

20442315040 is a wasteful number, since it uses less digits than its factorization.

20442315040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073690 (or 1073682 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 20442315040 its reverse (4051324402), we get a palindrome (24493639442).

The spelling of 20442315040 in words is "twenty billion, four hundred forty-two million, three hundred fifteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 68 70 80 85 112 119 136 140 160 170 224 238 272 280 340 476 544 560 595 680 952 1120 1190 1360 1904 2380 2720 3808 4760 9520 19040 1073651 2147302 4294604 5368255 7515557 8589208 10736510 15031114 17178416 18252067 21473020 30062228 34356832 36504134 37577785 42946040 60124456 73008268 75155570 85892080 91260335 120248912 127764469 146016536 150311140 171784160 182520670 240497824 255528938 292033072 300622280 365041340 511057876 584066144 601244560 638822345 730082680 1022115752 1202489120 1277644690 1460165360 2044231504 2555289380 2920330720 4088463008 5110578760 10221157520 20442315040