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42455238144 = 293112512739
BaseRepresentation
bin100111100010100001…
…111000011000000000
311001120210000120001120
4213202201320120000
51143422020110034
631300443032240
73032036366334
oct474241703000
9131523016046
1042455238144
1117006969880
12828a20b680
13400793b8b7
1420aa6c97c4
15118731ec49
hex9e2878600

42455238144 has 80 divisors (see below), whose sum is σ = 123385584960. Its totient is φ = 12865218560.

The previous prime is 42455238139. The next prime is 42455238149. The reversal of 42455238144 is 44183255424.

It is an interprime number because it is at equal distance from previous prime (42455238139) and next prime (42455238149).

It is a junction number, because it is equal to n+sod(n) for n = 42455238096 and 42455238105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42455238149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1239474 + ... + 1273265.

It is an arithmetic number, because the mean of its divisors is an integer number (1542319812).

Almost surely, 242455238144 is an apocalyptic number.

42455238144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42455238144 is an abundant number, since it is smaller than the sum of its proper divisors (80930346816).

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

42455238144 is a wasteful number, since it uses less digits than its factorization.

42455238144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512771 (or 2512755 counting only the distinct ones).

The product of its digits is 614400, while the sum is 42.

The spelling of 42455238144 in words is "forty-two billion, four hundred fifty-five million, two hundred thirty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 2112 2816 4224 5632 8448 16896 2512739 5025478 7538217 10050956 15076434 20101912 27640129 30152868 40203824 55280258 60305736 80407648 82920387 110560516 120611472 160815296 165840774 221121032 241222944 321630592 331681548 442242064 482445888 643261184 663363096 884484128 964891776 1286522368 1326726192 1768968256 1929783552 2653452384 3537936512 3859567104 5306904768 7075873024 10613809536 14151746048 21227619072 42455238144