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1442965992 = 23313291011579
BaseRepresentation
bin101011000000001…
…1110100111101000
310201120012021012220
41112000132213220
510423344402432
6355103434040
750521002636
oct12600364750
93646167186
101442965992
11680575786
123432b5920
1319cc43340
14d98d8356
1586a3072c
hex5601e9e8

1442965992 has 128 divisors (see below), whose sum is σ = 4061232000. Its totient is φ = 424166400.

The previous prime is 1442965991. The next prime is 1442966011. The reversal of 1442965992 is 2995692441.

It is not an unprimeable number, because it can be changed into a prime (1442965991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 913059 + ... + 914637.

It is an arithmetic number, because the mean of its divisors is an integer number (31728375).

Almost surely, 21442965992 is an apocalyptic number.

1442965992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1442965992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030616000).

1442965992 is an abundant number, since it is smaller than the sum of its proper divisors (2618266008).

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

1442965992 is a wasteful number, since it uses less digits than its factorization.

1442965992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731 (or 1727 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 51.

The square root of 1442965992 is about 37986.3921951006. The cubic root of 1442965992 is about 1130.0180099983.

The spelling of 1442965992 in words is "one billion, four hundred forty-two million, nine hundred sixty-five thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 101 104 116 156 174 202 232 303 312 348 377 404 606 696 754 808 1131 1212 1313 1508 1579 2262 2424 2626 2929 3016 3158 3939 4524 4737 5252 5858 6316 7878 8787 9048 9474 10504 11716 12632 15756 17574 18948 20527 23432 31512 35148 37896 38077 41054 45791 61581 70296 76154 82108 91582 114231 123162 137373 152308 159479 164216 183164 228462 246324 274746 304616 318958 366328 456924 478437 492648 549492 595283 637916 913848 956874 1098984 1190566 1275832 1785849 1913748 2073227 2381132 3571698 3827496 4146454 4624891 4762264 6219681 7143396 8292908 9249782 12439362 13874673 14286792 16585816 18499564 24878724 27749346 36999128 49757448 55498692 60123583 110997384 120247166 180370749 240494332 360741498 480988664 721482996 1442965992