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1442314060 = 2251131792677
BaseRepresentation
bin101010111110111…
…1111011101001100
310201111222010221021
41111331333131030
510423213022220
6355041443524
750512316155
oct12575773514
93644863837
101442314060
1168016a9a0
123430405a4
1319ca75695
14d97a892c
15869524aa
hex55f7f74c

1442314060 has 96 divisors (see below), whose sum is σ = 3455262720. Its totient is φ = 500947200.

The previous prime is 1442314019. The next prime is 1442314067. The reversal of 1442314060 is 604132441.

It is not an unprimeable number, because it can be changed into a prime (1442314067) 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, 537442 + ... + 540118.

It is an arithmetic number, because the mean of its divisors is an integer number (35992320).

Almost surely, 21442314060 is an apocalyptic number.

1442314060 is a gapful number since it is divisible by the number (10) 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 1442314060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727631360).

1442314060 is an abundant number, since it is smaller than the sum of its proper divisors (2012948660).

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

1442314060 is a wasteful number, since it uses less digits than its factorization.

1442314060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2807 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 1442314060 is about 37977.8101001098. The cubic root of 1442314060 is about 1129.8478036595.

The spelling of 1442314060 in words is "one billion, four hundred forty-two million, three hundred fourteen thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 79 110 124 155 158 220 310 316 341 395 620 682 790 869 1364 1580 1705 1738 2449 2677 3410 3476 4345 4898 5354 6820 8690 9796 10708 12245 13385 17380 24490 26770 26939 29447 48980 53540 53878 58894 82987 107756 117788 134695 147235 165974 211483 269390 294470 331948 414935 422966 538780 588940 829870 845932 912857 1057415 1659740 1825714 2114830 2326313 3651428 4229660 4564285 4652626 6555973 9128570 9305252 11631565 13111946 18257140 23263130 26223892 32779865 46526260 65559730 72115703 131119460 144231406 288462812 360578515 721157030 1442314060