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2413341120 = 26357135407
BaseRepresentation
bin1000111111011000…
…1010100111000000
320020012010102122110
42033312022213000
514420303403440
61035250135320
7113543026641
oct21766124700
96205112573
102413341120
1110292a49a3
12574281540
132c5caa1c8
1418c7336c8
15e1d0e080
hex8fd8a9c0

2413341120 has 112 divisors (see below), whose sum is σ = 7770498048. Its totient is φ = 634475520.

The previous prime is 2413341067. The next prime is 2413341143. The reversal of 2413341120 is 211433142.

It is a super-2 number, since 2×24133411202 = 11648430722965708800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50457 + ... + 85863.

Almost surely, 22413341120 is an apocalyptic number.

2413341120 is a gapful number since it is divisible by the number (20) 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 2413341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3885249024).

2413341120 is an abundant number, since it is smaller than the sum of its proper divisors (5357156928).

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

2413341120 is a wasteful number, since it uses less digits than its factorization.

2413341120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35498 (or 35488 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2413341120 is about 49125.7683909372. The cubic root of 2413341120 is about 1341.3421467520.

Adding to 2413341120 its reverse (211433142), we get a palindrome (2624774262).

The spelling of 2413341120 in words is "two billion, four hundred thirteen million, three hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 71 80 96 120 142 160 192 213 240 284 320 355 426 480 568 710 852 960 1065 1136 1420 1704 2130 2272 2840 3408 4260 4544 5680 6816 8520 11360 13632 17040 22720 34080 35407 68160 70814 106221 141628 177035 212442 283256 354070 424884 531105 566512 708140 849768 1062210 1133024 1416280 1699536 2124420 2266048 2513897 2832560 3399072 4248840 5027794 5665120 6798144 7541691 8497680 10055588 11330240 12569485 15083382 16995360 20111176 25138970 30166764 33990720 37708455 40222352 50277940 60333528 75416910 80444704 100555880 120667056 150833820 160889408 201111760 241334112 301667640 402223520 482668224 603335280 804447040 1206670560 2413341120