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1442012968 = 2311234117377
BaseRepresentation
bin101010111110011…
…0101111100101000
310201111101211220201
41111330311330220
510423123403333
6355031201544
750506623304
oct12574657450
93644354821
101442012968
1167aa84760
12342b162b4
1319c99b616
14d972ad04
15868e317d
hex55f35f28

1442012968 has 64 divisors (see below), whose sum is σ = 3153064320. Its totient is φ = 611635200.

The previous prime is 1442012963. The next prime is 1442012983. The reversal of 1442012968 is 8692102441.

It is not an unprimeable number, because it can be changed into a prime (1442012963) 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, 74296 + ... + 91672.

It is an arithmetic number, because the mean of its divisors is an integer number (49266630).

Almost surely, 21442012968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1442012968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576532160).

1442012968 is an abundant number, since it is smaller than the sum of its proper divisors (1711051352).

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

1442012968 is a wasteful number, since it uses less digits than its factorization.

1442012968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17458 (or 17454 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 1442012968 is about 37973.8458415789. The cubic root of 1442012968 is about 1129.7691772773.

The spelling of 1442012968 in words is "one billion, four hundred forty-two million, twelve thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 22 23 41 44 46 82 88 92 164 184 253 328 451 506 902 943 1012 1804 1886 2024 3608 3772 7544 10373 17377 20746 34754 41492 69508 82984 139016 191147 382294 399671 712457 764588 799342 1424914 1529176 1598684 2849828 3197368 4396381 5699656 7837027 8792762 15674054 16386511 17585524 31348108 32773022 35171048 62696216 65546044 131092088 180251621 360503242 721006484 1442012968