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4023146120 = 235783331523
BaseRepresentation
bin1110111111001100…
…0101011010001000
3101101101020222221212
43233303011122020
531214411133440
61503113552252
7201461114660
oct35763053210
911341228855
104023146120
111784a63254
12943415688
134c1666b46
142a245b1a0
151882e8465
hexefcc5688

4023146120 has 128 divisors (see below), whose sum is σ = 10521584640. Its totient is φ = 1356030720.

The previous prime is 4023146111. The next prime is 4023146147. The reversal of 4023146120 is 216413204.

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, 7692179 + ... + 7692701.

It is an arithmetic number, because the mean of its divisors is an integer number (82199880).

Almost surely, 24023146120 is an apocalyptic number.

4023146120 is a gapful number since it is divisible by the number (40) 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 4023146120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5260792320).

4023146120 is an abundant number, since it is smaller than the sum of its proper divisors (6498438520).

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

4023146120 is a wasteful number, since it uses less digits than its factorization.

4023146120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 4023146120 is about 63428.2753982796. The cubic root of 4023146120 is about 1590.4570129924.

Adding to 4023146120 its reverse (216413204), we get a palindrome (4239559324).

The spelling of 4023146120 in words is "four billion, twenty-three million, one hundred forty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 83 140 166 280 331 332 415 523 581 662 664 830 1046 1162 1324 1655 1660 2092 2317 2324 2615 2648 2905 3310 3320 3661 4184 4634 4648 5230 5810 6620 7322 9268 10460 11585 11620 13240 14644 18305 18536 20920 23170 23240 27473 29288 36610 43409 46340 54946 73220 86818 92680 109892 137365 146440 173113 173636 192311 217045 219784 274730 303863 346226 347272 384622 434090 549460 607726 692452 769244 865565 868180 961555 1098920 1211791 1215452 1384904 1519315 1538488 1731130 1736360 1923110 2423582 2430904 3038630 3462260 3846220 4847164 6058955 6077260 6924520 7692440 9694328 12117910 12154520 14368379 24235820 28736758 48471640 57473516 71841895 100578653 114947032 143683790 201157306 287367580 402314612 502893265 574735160 804629224 1005786530 2011573060 4023146120