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424442198340 = 223454122728151
BaseRepresentation
bin1100010110100101011…
…10011111100101000100
31111120120002212200210000
412023102232133211010
523423224200321330
6522552553201300
742444034105326
oct6132256374504
91446502780700
10424442198340
11154006612816
126a314a00230
13310424322b4
1416786429616
15b092636560
hex62d2b9f944

424442198340 has 240 divisors, whose sum is σ = 1370023611264. Its totient is φ = 109933632000.

The previous prime is 424442198339. The next prime is 424442198353. The reversal of 424442198340 is 43891244424.

424442198340 is a `hidden beast` number, since 42 + 44 + 42 + 198 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15063265 + ... + 15091415.

Almost surely, 2424442198340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424442198340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685011805632).

424442198340 is an abundant number, since it is smaller than the sum of its proper divisors (945581412924).

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

424442198340 is a wasteful number, since it uses less digits than its factorization.

424442198340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28440 (or 28429 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 424442198340 in words is "four hundred twenty-four billion, four hundred forty-two million, one hundred ninety-eight thousand, three hundred forty".