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41152110340 = 2251114910631181
BaseRepresentation
bin100110010100110110…
…110101111100000100
310221012221221210202211
4212110312311330010
51133234420012330
630523252313204
72654534111035
oct462466657404
9127187853684
1041152110340
11164a8325650
127b85912804
133b5a97a063
141dc55d2a8c
15110cc12d2a
hex994db5f04

41152110340 has 96 divisors (see below), whose sum is σ = 95078188800. Its totient is φ = 14837414400.

The previous prime is 41152110313. The next prime is 41152110353. The reversal of 41152110340 is 4301125114.

41152110340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34844550 + ... + 34845730.

It is an arithmetic number, because the mean of its divisors is an integer number (990397800).

Almost surely, 241152110340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41152110340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47539094400).

41152110340 is an abundant number, since it is smaller than the sum of its proper divisors (53926078460).

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

41152110340 is a wasteful number, since it uses less digits than its factorization.

41152110340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2413 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 41152110340 its reverse (4301125114), we get a palindrome (45453235454).

The spelling of 41152110340 in words is "forty-one billion, one hundred fifty-two million, one hundred ten thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 149 220 298 596 745 1063 1181 1490 1639 2126 2362 2980 3278 4252 4724 5315 5905 6556 8195 10630 11693 11810 12991 16390 21260 23386 23620 25982 32780 46772 51964 58465 64955 116930 129910 158387 175969 233860 259820 316774 351938 633548 703876 791935 879845 1255403 1583870 1742257 1759690 1935659 2510806 3167740 3484514 3519380 3871318 5021612 6277015 6969028 7742636 8711285 9678295 12554030 13809433 17422570 19356590 25108060 27618866 34845140 38713180 55237732 69047165 138094330 187055047 276188660 374110094 748220188 935275235 1870550470 2057605517 3741100940 4115211034 8230422068 10288027585 20576055170 41152110340