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41413604320 = 2551131759047
BaseRepresentation
bin100110100100011100…
…010111001111100000
310221220012000002002001
4212210130113033200
51134303340314240
631005233133344
72664160554124
oct464434271740
9127805002061
1041413604320
1116621999980
1280393ba254
133b9cbb531a
14200c221584
151125b6789a
hex9a47173e0

41413604320 has 96 divisors (see below), whose sum is σ = 110177335296. Its totient is φ = 14573683200.

The previous prime is 41413604279. The next prime is 41413604321. The reversal of 41413604320 is 2340631414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41413604321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324964 + ... + 434083.

It is an arithmetic number, because the mean of its divisors is an integer number (1147680576).

Almost surely, 241413604320 is an apocalyptic number.

41413604320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41413604320 is an abundant number, since it is smaller than the sum of its proper divisors (68763730976).

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

41413604320 is a wasteful number, since it uses less digits than its factorization.

41413604320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759104 (or 759096 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The spelling of 41413604320 in words is "forty-one billion, four hundred thirteen million, six hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 80 88 110 124 155 160 176 220 248 310 341 352 440 496 620 682 880 992 1240 1364 1705 1760 2480 2728 3410 4960 5456 6820 10912 13640 27280 54560 759047 1518094 3036188 3795235 6072376 7590470 8349517 12144752 15180940 16699034 23530457 24289504 30361880 33398068 41747585 47060914 60723760 66796136 83495170 94121828 117652285 121447520 133592272 166990340 188243656 235304570 258835027 267184544 333980680 376487312 470609140 517670054 667961360 752974624 941218280 1035340108 1294175135 1335922720 1882436560 2070680216 2588350270 3764873120 4141360432 5176700540 8282720864 10353401080 20706802160 41413604320