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424119214200 = 2335211523122869
BaseRepresentation
bin1100010101111110111…
…10011010000001111000
31111112201121010101211110
412022333132122001320
523422044004323300
6522500534400320
742433032560523
oct6127736320170
91445647111743
10424119214200
1115396026aa80
126a2448000a0
1330cc0547a16
1416755591bba
15b0740d7550
hex62bf79a078

424119214200 has 192 divisors, whose sum is σ = 1437048201600. Its totient is φ = 102619353600.

The previous prime is 424119214187. The next prime is 424119214213. The reversal of 424119214200 is 2412911424.

It is an interprime number because it is at equal distance from previous prime (424119214187) and next prime (424119214213).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3390366 + ... + 3513234.

It is an arithmetic number, because the mean of its divisors is an integer number (7484626050).

Almost surely, 2424119214200 is an apocalyptic number.

424119214200 is a gapful number since it is divisible by the number (40) 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 424119214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718524100800).

424119214200 is an abundant number, since it is smaller than the sum of its proper divisors (1012928987400).

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

424119214200 is a wasteful number, since it uses less digits than its factorization.

424119214200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123422 (or 123413 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 424119214200 in words is "four hundred twenty-four billion, one hundred nineteen million, two hundred fourteen thousand, two hundred".