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41331323440 = 24511172162517
BaseRepresentation
bin100110011111100010…
…011111001000110000
310221200110011202221001
4212133202133020300
51134121304322230
630553133411344
72662141311151
oct463742371060
9127613152831
1041331323440
111658a500050
128015939b54
133b88b36a04
142001323928
15111d8130ca
hex99f89f230

41331323440 has 120 divisors (see below), whose sum is σ = 111361234032. Its totient is φ = 14145392640.

The previous prime is 41331323437. The next prime is 41331323461. The reversal of 41331323440 is 4432313314.

41331323440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 41331323399 and 41331323408.

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, 173062 + ... + 335578.

Almost surely, 241331323440 is an apocalyptic number.

41331323440 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 41331323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55680617016).

41331323440 is an abundant number, since it is smaller than the sum of its proper divisors (70029910592).

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

41331323440 is a wasteful number, since it uses less digits than its factorization.

41331323440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162575 (or 162552 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 41331323440 its reverse (4432313314), we get a palindrome (45763636754).

The spelling of 41331323440 in words is "forty-one billion, three hundred thirty-one million, three hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 289 340 374 440 578 680 748 880 935 1156 1360 1445 1496 1870 2312 2890 2992 3179 3740 4624 5780 6358 7480 11560 12716 14960 15895 23120 25432 31790 50864 63580 127160 162517 254320 325034 650068 812585 1300136 1625170 1787687 2600272 2762789 3250340 3575374 5525578 6500680 7150748 8938435 11051156 13001360 13813945 14301496 17876870 22102312 27627890 28602992 30390679 35753740 44204624 46967413 55255780 60781358 71507480 93934826 110511560 121562716 143014960 151953395 187869652 221023120 234837065 243125432 303906790 375739304 469674130 486250864 516641543 607813580 751478608 939348260 1033283086 1215627160 1878696520 2066566172 2431254320 2583207715 3757393040 4133132344 5166415430 8266264688 10332830860 20665661720 41331323440