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42343144400 = 2452176226933
BaseRepresentation
bin100111011011110110…
…010001101111010000
311001021222002121100102
4213123312101233100
51143204321110100
631241400311532
73026205534404
oct473366215720
9131258077312
1042343144400
1116a59668117
1282587725a8
133cba65253b
14209986b104
15117c57bcd5
hex9dbd91bd0

42343144400 has 60 divisors (see below), whose sum is σ = 107713504332. Its totient is φ = 15940945920.

The previous prime is 42343144397. The next prime is 42343144447. The reversal of 42343144400 is 444134324.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5985807424 + 36357336976 = 77368^2 + 190676^2 .

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, 3106667 + ... + 3120266.

Almost surely, 242343144400 is an apocalyptic number.

42343144400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42343144400 is an abundant number, since it is smaller than the sum of its proper divisors (65370359932).

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

42343144400 is a wasteful number, since it uses less digits than its factorization.

42343144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6226968 (or 6226957 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 42343144400 its reverse (444134324), we get a palindrome (42787278724).

The spelling of 42343144400 in words is "forty-two billion, three hundred forty-three million, one hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 1360 1700 3400 6800 6226933 12453866 24907732 31134665 49815464 62269330 99630928 105857861 124538660 155673325 211715722 249077320 311346650 423431444 498154640 529289305 622693300 846862888 1058578610 1245386600 1693725776 2117157220 2490773200 2646446525 4234314440 5292893050 8468628880 10585786100 21171572200 42343144400