Search a number
-
+
41800313920 = 265738321559
BaseRepresentation
bin100110111011011111…
…100010110001000000
310222220010122221220211
4212323133202301000
51141101340021140
631111445443504
73006564543301
oct467337426100
9128803587824
1041800313920
1116800207592
128126a10594
133c32052481
1420477267a8
151149aa32ea
hex9bb7e2c40

41800313920 has 112 divisors (see below), whose sum is σ = 102120923520. Its totient is φ = 16291639296.

The previous prime is 41800313909. The next prime is 41800313939. The reversal of 41800313920 is 2931300814.

41800313920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1928101 + ... + 1949659.

It is an arithmetic number, because the mean of its divisors is an integer number (911793960).

Almost surely, 241800313920 is an apocalyptic number.

41800313920 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 41800313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51060461760).

41800313920 is an abundant number, since it is smaller than the sum of its proper divisors (60320609600).

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

41800313920 is a wasteful number, since it uses less digits than its factorization.

41800313920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21732 (or 21722 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 41800313920 in words is "forty-one billion, eight hundred million, three hundred thirteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 83 146 160 166 292 320 332 365 415 584 664 730 830 1168 1328 1460 1660 2336 2656 2920 3320 4672 5312 5840 6059 6640 11680 12118 13280 21559 23360 24236 26560 30295 43118 48472 60590 86236 96944 107795 121180 172472 193888 215590 242360 344944 387776 431180 484720 689888 862360 969440 1379776 1573807 1724720 1789397 1938880 3147614 3449440 3578794 6295228 6898880 7157588 7869035 8946985 12590456 14315176 15738070 17893970 25180912 28630352 31476140 35787940 50361824 57260704 62952280 71575880 100723648 114521408 125904560 130625981 143151760 251809120 261251962 286303520 503618240 522503924 572607040 653129905 1045007848 1306259810 2090015696 2612519620 4180031392 5225039240 8360062784 10450078480 20900156960 41800313920