Search a number
-
+
1019254314060 = 2233513811366769
BaseRepresentation
bin11101101010100000100…
…10101001010001001100
310121102212120210220221000
432311100102221101030
5113144413101022220
62100123341140300
7133432033502313
oct16652022512114
93542776726830
101019254314060
11363299541044
1214565625a690
1375166329498
14374916a127a
151b7a6cd8390
hexed504a944c

1019254314060 has 96 divisors (see below), whose sum is σ = 3173311915200. Its totient is φ = 271604136960.

The previous prime is 1019254314053. The next prime is 1019254314077. The reversal of 1019254314060 is 604134529101.

It is a happy number.

1019254314060 is a `hidden beast` number, since 1 + 0 + 19 + 2 + 543 + 1 + 40 + 60 = 666.

It is a super-2 number, since 2×10192543140602 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62356 + ... + 1429124.

It is an arithmetic number, because the mean of its divisors is an integer number (33055332450).

Almost surely, 21019254314060 is an apocalyptic number.

1019254314060 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 1019254314060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586655957600).

1019254314060 is an abundant number, since it is smaller than the sum of its proper divisors (2154057601140).

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

1019254314060 is a wasteful number, since it uses less digits than its factorization.

1019254314060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368168 (or 1368160 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1019254314060 in words is "one trillion, nineteen billion, two hundred fifty-four million, three hundred fourteen thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1381 2762 4143 5524 6905 8286 12429 13810 16572 20715 24858 27620 37287 41430 49716 62145 74574 82860 124290 149148 186435 248580 372870 745740 1366769 2733538 4100307 5467076 6833845 8200614 12300921 13667690 16401228 20501535 24601842 27335380 36902763 41003070 49203684 61504605 73805526 82006140 123009210 147611052 184513815 246018420 369027630 738055260 1887507989 3775015978 5662523967 7550031956 9437539945 11325047934 16987571901 18875079890 22650095868 28312619835 33975143802 37750159780 50962715703 56625239670 67950287604 84937859505 101925431406 113250479340 169875719010 203850862812 254813578515 339751438020 509627157030 1019254314060