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10413332340 = 22352313954287
BaseRepresentation
bin10011011001010111…
…01101011101110100
3222212201112002111120
421230223231131310
5132311303113330
64441145503540
7516023602335
oct115453553564
928781462446
1010413332340
114464066794
1220274a1bb0
13c9c519318
1470add828c
1540e306c10
hex26caed774

10413332340 has 96 divisors (see below), whose sum is σ = 30644490240. Its totient is φ = 2636996736.

The previous prime is 10413332333. The next prime is 10413332351. The reversal of 10413332340 is 4323331401.

It is a self number, because there is not a number n which added to its sum of digits gives 10413332340.

It is a congruent number.

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, 164677 + ... + 218963.

It is an arithmetic number, because the mean of its divisors is an integer number (319213440).

Almost surely, 210413332340 is an apocalyptic number.

10413332340 is a gapful number since it is divisible by the number (10) 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 10413332340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15322245120).

10413332340 is an abundant number, since it is smaller than the sum of its proper divisors (20231157900).

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

10413332340 is a wasteful number, since it uses less digits than its factorization.

10413332340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54461 (or 54459 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 10413332340 its reverse (4323331401), we get a palindrome (14736663741).

The spelling of 10413332340 in words is "ten billion, four hundred thirteen million, three hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 139 230 276 278 345 417 460 556 690 695 834 1380 1390 1668 2085 2780 3197 4170 6394 8340 9591 12788 15985 19182 31970 38364 47955 54287 63940 95910 108574 162861 191820 217148 271435 325722 542870 651444 814305 1085740 1248601 1628610 2497202 3257220 3745803 4994404 6243005 7491606 7545893 12486010 14983212 15091786 18729015 22637679 24972020 30183572 37458030 37729465 45275358 74916060 75458930 90550716 113188395 150917860 173555539 226376790 347111078 452753580 520666617 694222156 867777695 1041333234 1735555390 2082666468 2603333085 3471110780 5206666170 10413332340