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2041323144 = 2337217102107
BaseRepresentation
bin111100110101100…
…0001111010001000
312021021002221220220
41321223001322020
513140034320034
6534320350040
7101404650300
oct17153017210
95237087826
102041323144
11958301323
1248b775320
13266bb5223
14155174600
15be326749
hex79ac1e88

2041323144 has 96 divisors (see below), whose sum is σ = 6285768480. Its totient is φ = 548921856.

The previous prime is 2041323131. The next prime is 2041323181. The reversal of 2041323144 is 4413231402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31062 + ... + 71045.

It is an arithmetic number, because the mean of its divisors is an integer number (65476755).

Almost surely, 22041323144 is an apocalyptic number.

2041323144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2041323144 is an abundant number, since it is smaller than the sum of its proper divisors (4244445336).

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

2041323144 is a wasteful number, since it uses less digits than its factorization.

2041323144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102147 (or 102136 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2041323144 is about 45181.0042385071. The cubic root of 2041323144 is about 1268.5392807400.

Adding to 2041323144 its reverse (4413231402), we get a palindrome (6454554546).

The spelling of 2041323144 in words is "two billion, forty-one million, three hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 49 51 56 68 84 98 102 119 136 147 168 196 204 238 294 357 392 408 476 588 714 833 952 1176 1428 1666 2499 2856 3332 4998 6664 9996 19992 102107 204214 306321 408428 612642 714749 816856 1225284 1429498 1735819 2144247 2450568 2858996 3471638 4288494 5003243 5207457 5717992 6943276 8576988 10006486 10414914 12150733 13886552 15009729 17153976 20012972 20829828 24301466 30019458 36452199 40025944 41659656 48602932 60038916 72904398 85055131 97205864 120077832 145808796 170110262 255165393 291617592 340220524 510330786 680441048 1020661572 2041323144