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242231020400 = 24525281114671
BaseRepresentation
bin1110000110011000011…
…0000000101101110000
3212011020111101210122002
43201212012000231300
512432042120123100
6303140203233132
723333465462315
oct3414606005560
9764214353562
10242231020400
1193803106956
123ab428187a8
1319ac4674645
14ba1cac2d0c
15647ac542d5
hex3866180b70

242231020400 has 60 divisors (see below), whose sum is σ = 582075301344. Its totient is φ = 96873216000.

The previous prime is 242231020397. The next prime is 242231020459. The reversal of 242231020400 is 4020132242.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2055065 + ... + 2169735.

Almost surely, 2242231020400 is an apocalyptic number.

242231020400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242231020400 is an abundant number, since it is smaller than the sum of its proper divisors (339844280944).

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

242231020400 is a wasteful number, since it uses less digits than its factorization.

242231020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119970 (or 119959 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 242231020400 its reverse (4020132242), we get a palindrome (246251152642).

The spelling of 242231020400 in words is "two hundred forty-two billion, two hundred thirty-one million, twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 5281 10562 21124 26405 42248 52810 84496 105620 114671 132025 211240 229342 264050 422480 458684 528100 573355 917368 1056200 1146710 1834736 2112400 2293420 2866775 4586840 5733550 9173680 11467100 22934200 45868400 605577551 1211155102 2422310204 3027887755 4844620408 6055775510 9689240816 12111551020 15139438775 24223102040 30278877550 48446204080 60557755100 121115510200 242231020400