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20442402424000 = 265310125300003
BaseRepresentation
bin1001010010111100111100…
…01000101000010011000000
32200101021102011200012022201
410221132132020220103000
510134412020010032000
6111251035433242544
74206625534414204
oct451363610502300
980337364605281
1020442402424000
116571635266157
122361a5b263454
13b5393062b69b
145095bbabcb04
15256b4911a96a
hex12979e2284c0

20442402424000 has 112 divisors (see below), whose sum is σ = 51126855283296. Its totient is φ = 8096000640000.

The previous prime is 20442402423973. The next prime is 20442402424001. The reversal of 20442402424000 is 42420424402.

It is a super-2 number, since 2×204424024240002 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20442402424000.

It is not an unprimeable number, because it can be changed into a prime (20442402424001) 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, 11842002 + ... + 13458001.

Almost surely, 220442402424000 is an apocalyptic number.

20442402424000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20442402424000 is an abundant number, since it is smaller than the sum of its proper divisors (30684452859296).

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

20442402424000 is a wasteful number, since it uses less digits than its factorization.

20442402424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25300131 (or 25300111 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 20442402424000 its reverse (42420424402), we get a palindrome (20484822848402).

The spelling of 20442402424000 in words is "twenty trillion, four hundred forty-two billion, four hundred two million, four hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 101 125 160 200 202 250 320 400 404 500 505 800 808 1000 1010 1600 1616 2000 2020 2525 3232 4000 4040 5050 6464 8000 8080 10100 12625 16160 20200 25250 32320 40400 50500 80800 101000 161600 202000 404000 808000 25300003 50600006 101200012 126500015 202400024 253000030 404800048 506000060 632500075 809600096 1012000120 1265000150 1619200192 2024000240 2530000300 2555300303 3162500375 4048000480 5060000600 5110600606 6325000750 8096000960 10120001200 10221201212 12650001500 12776501515 20240002400 20442402424 25300003000 25553003030 40480004800 40884804848 50600006000 51106006060 63882507575 81769609696 101200012000 102212012120 127765015150 163539219392 202400024000 204424024240 255530030300 319412537875 408848048480 511060060600 638825075750 817696096960 1022120121200 1277650151500 2044240242400 2555300303000 4088480484800 5110600606000 10221201212000 20442402424000