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874140375240 = 23325112937320407
BaseRepresentation
bin11001011100001101101…
…00111001100011001000
310002120022100100000221100
430232012310321203020
5103310214414001430
61505324033541400
7120104004410346
oct14560664714310
93076270300840
10874140375240
113077a24a8a90
121214b7a14860
136457b1247b2
1430446bd2996
1517b12155960
hexcb86d398c8

874140375240 has 384 divisors, whose sum is σ = 3214847750400. Its totient is φ = 204046940160.

The previous prime is 874140375223. The next prime is 874140375259. The reversal of 874140375240 is 42573041478.

874140375240 is a `hidden beast` number, since 87 + 4 + 1 + 40 + 3 + 7 + 524 + 0 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42825117 + ... + 42845523.

It is an arithmetic number, because the mean of its divisors is an integer number (8371999350).

Almost surely, 2874140375240 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 874140375240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607423875200).

874140375240 is an abundant number, since it is smaller than the sum of its proper divisors (2340707375160).

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

874140375240 is a wasteful number, since it uses less digits than its factorization.

874140375240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20837 (or 20830 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 874140375240 in words is "eight hundred seventy-four billion, one hundred forty million, three hundred seventy-five thousand, two hundred forty".