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42012434440 = 2351959936941
BaseRepresentation
bin100111001000001000…
…101110000000001000
311000102220210210120101
4213020020232000020
51142020140400230
631144504135144
73015051541414
oct471010560010
9130386723511
1042012434440
11168a9a188a9
128185a674b4
133c66c91582
142067981d44
15115d503aca
hex9c822e008

42012434440 has 64 divisors (see below), whose sum is σ = 101189736000. Its totient is φ = 15650645760.

The previous prime is 42012434423. The next prime is 42012434449. The reversal of 42012434440 is 4443421024.

It is a super-2 number, since 2×420124344402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42012434399 and 42012434408.

It is not an unprimeable number, because it can be changed into a prime (42012434449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423631 + ... + 513310.

It is an arithmetic number, because the mean of its divisors is an integer number (1581089625).

Almost surely, 242012434440 is an apocalyptic number.

42012434440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42012434440 is an abundant number, since it is smaller than the sum of its proper divisors (59177301560).

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

42012434440 is a wasteful number, since it uses less digits than its factorization.

42012434440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937030 (or 937026 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 42012434440 its reverse (4443421024), we get a palindrome (46455855464).

The spelling of 42012434440 in words is "forty-two billion, twelve million, four hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 59 76 95 118 152 190 236 295 380 472 590 760 1121 1180 2242 2360 4484 5605 8968 11210 22420 44840 936941 1873882 3747764 4684705 7495528 9369410 17801879 18738820 35603758 37477640 55279519 71207516 89009395 110559038 142415032 178018790 221118076 276397595 356037580 442236152 552795190 712075160 1050310861 1105590380 2100621722 2211180760 4201243444 5251554305 8402486888 10503108610 21006217220 42012434440