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13820141244 = 22371312655807
BaseRepresentation
bin11001101111011111…
…01001111010111100
31022200011000220202010
430313233221322330
5211300424004434
610203205331220
7666322155660
oct146757517274
938604026663
1013820141244
115952122738
122818406b10
1313c3287390
149516588a0
1555d4569e9
hex337be9ebc

13820141244 has 48 divisors (see below), whose sum is σ = 39688613888. Its totient is φ = 3644872128.

The previous prime is 13820141243. The next prime is 13820141249. The reversal of 13820141244 is 44214102831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13820141243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6326812 + ... + 6328995.

Almost surely, 213820141244 is an apocalyptic number.

13820141244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13820141244 is an abundant number, since it is smaller than the sum of its proper divisors (25868472644).

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

13820141244 is a wasteful number, since it uses less digits than its factorization.

13820141244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12655834 (or 12655832 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 13820141244 in words is "thirteen billion, eight hundred twenty million, one hundred forty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 12655807 25311614 37967421 50623228 75934842 88590649 151869684 164525491 177181298 265771947 329050982 354362596 493576473 531543894 658101964 987152946 1063087788 1151678437 1974305892 2303356874 3455035311 4606713748 6910070622 13820141244