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41352212430 = 232519115491553
BaseRepresentation
bin100110100000110010…
…001010111111001110
310221201220111001020100
4212200302022333032
51134142131244210
630555201231530
72662514002044
oct464062127716
9127656431210
1041352212430
11165a0278281
1280209325a6
133b9026b969
142004000394
15112058c5c0
hex9a0c8afce

41352212430 has 96 divisors (see below), whose sum is σ = 108218073600. Its totient is φ = 10955381760.

The previous prime is 41352212383. The next prime is 41352212449. The reversal of 41352212430 is 3421225314.

41352212430 is a `hidden beast` number, since 4 + 1 + 3 + 5 + 221 + 2 + 430 = 666.

41352212430 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 = 41352212394 and 41352212403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26626534 + ... + 26628086.

It is an arithmetic number, because the mean of its divisors is an integer number (1127271600).

Almost surely, 241352212430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41352212430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54109036800).

41352212430 is an abundant number, since it is smaller than the sum of its proper divisors (66865861170).

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

41352212430 is a wasteful number, since it uses less digits than its factorization.

41352212430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3306 (or 3303 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 41352212430 its reverse (3421225314), we get a palindrome (44773437744).

It can be divided in two parts, 4135 and 2212430, that added together give a triangular number (2216565 = T2105).

The spelling of 41352212430 in words is "forty-one billion, three hundred fifty-two million, two hundred twelve thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 191 382 573 955 1146 1549 1553 1719 1910 2865 3098 3106 3438 4647 4659 5730 7745 7765 8595 9294 9318 13941 13977 15490 15530 17190 23235 23295 27882 27954 46470 46590 69705 69885 139410 139770 295859 296623 591718 593246 887577 889869 1479295 1483115 1775154 1779738 2405597 2662731 2669607 2958590 2966230 4437885 4449345 4811194 5325462 5339214 7216791 8875770 8898690 12027985 13313655 13348035 14433582 21650373 24055970 26627310 26696070 36083955 43300746 72167910 108251865 216503730 459469027 918938054 1378407081 2297345135 2756814162 4135221243 4594690270 6892035405 8270442486 13784070810 20676106215 41352212430