Search a number
-
+
413503135320 = 233511313259951
BaseRepresentation
bin1100000010001101011…
…01010001111001011000
31110112022202002201100210
412001012231101321120
523233323300312240
6513543303131120
741605664441322
oct6010655217130
91415282081323
10413503135320
1114a402815870
1268181443aa0
132ccbb022242
141602969c612
15ab520d2780
hex6046b51e58

413503135320 has 64 divisors (see below), whose sum is σ = 1353282992640. Its totient is φ = 100243184000.

The previous prime is 413503135319. The next prime is 413503135351. The reversal of 413503135320 is 23531305314.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 156628656 + ... + 156631295.

It is an arithmetic number, because the mean of its divisors is an integer number (21145046760).

Almost surely, 2413503135320 is an apocalyptic number.

413503135320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413503135320 is an abundant number, since it is smaller than the sum of its proper divisors (939779857320).

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

413503135320 is a wasteful number, since it uses less digits than its factorization.

413503135320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313259976 (or 313259972 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The spelling of 413503135320 in words is "four hundred thirteen billion, five hundred three million, one hundred thirty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 313259951 626519902 939779853 1253039804 1566299755 1879559706 2506079608 3132599510 3445859461 3759119412 4698899265 6265199020 6891718922 7518238824 9397798530 10337578383 12530398040 13783437844 17229297305 18795597060 20675156766 27566875688 34458594610 37591194120 41350313532 51687891915 68917189220 82700627064 103375783830 137834378440 206751567660 413503135320