Search a number
-
+
3106494423390 = 2352355721313793
BaseRepresentation
bin101101001101001001011…
…111110010000101011110
3101222222101221022111202110
4231031021133302011132
5401344100033022030
610335034232334450
7440302553630421
oct55151137620536
911888357274673
103106494423390
11a98503130236
12422086844426
13196c3098a107
14aa4d86a99b8
1555c18bcc1b0
hex2d3497f215e

3106494423390 has 128 divisors (see below), whose sum is σ = 7799422804992. Its totient is φ = 790378997760.

The previous prime is 3106494423379. The next prime is 3106494423427. The reversal of 3106494423390 is 933244946013.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 819005334 + ... + 819009126.

It is an arithmetic number, because the mean of its divisors is an integer number (60932990664).

Almost surely, 23106494423390 is an apocalyptic number.

3106494423390 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3106494423390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3899711402496).

3106494423390 is an abundant number, since it is smaller than the sum of its proper divisors (4692928381602).

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

3106494423390 is a wasteful number, since it uses less digits than its factorization.

3106494423390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6514.

The product of its (nonzero) digits is 1679616, while the sum is 48.

The spelling of 3106494423390 in words is "three trillion, one hundred six billion, four hundred ninety-four million, four hundred twenty-three thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 557 690 1114 1671 2131 2785 3342 3793 4262 5570 6393 7586 8355 10655 11379 12786 12811 16710 18965 21310 22758 25622 31965 37930 38433 49013 56895 63930 64055 76866 87239 98026 113790 128110 147039 174478 192165 245065 261717 294078 384330 436195 490130 523434 735195 872390 1186967 1308585 1470390 2112701 2373934 2617170 3560901 4225402 5934835 6338103 7121802 8082883 10563505 11869670 12676206 16165766 17804505 21127010 24248649 27300241 31690515 35609010 40414415 48497298 48592123 54600482 63381030 80828830 81900723 97184246 121243245 136501205 145776369 163801446 185906309 242486490 242960615 273002410 291552738 371812618 409503615 485921230 557718927 728881845 819007230 929531545 1115437854 1457763690 1859063090 2788594635 4502165831 5577189270 9004331662 13506497493 22510829155 27012994986 45021658310 67532487465 103549814113 135064974930 207099628226 310649442339 517749070565 621298884678 1035498141130 1553247211695 3106494423390