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244157920151040 = 2933572179743717
BaseRepresentation
bin110111100000111101110010…
…000110011000011000000000
31012000111021021020212122102000
4313200331302012120120000
5224000240410024313130
62223140333340424000
7102266553604462200
oct6740756206303000
91160437236778360
10244157920151040
1170883879817905
1223473535548000
13a630cbaa37c0c
144441440a30400
151d36193d1c260
hexde0f72198600

244157920151040 has 1920 divisors, whose sum is σ = 1079246372561280. Its totient is φ = 51982047903744.

The previous prime is 244157920151021. The next prime is 244157920151141. The reversal of 244157920151040 is 40151029751442.

It is a happy number.

244157920151040 is a `hidden beast` number, since 2 + 4 + 4 + 1 + 5 + 7 + 92 + 0 + 1 + 510 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×2441579201510402 (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5584943262 + ... + 5584986978.

It is an arithmetic number, because the mean of its divisors is an integer number (562107485709).

Almost surely, 2244157920151040 is an apocalyptic number.

244157920151040 is a gapful number since it is divisible by the number (20) 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 244157920151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539623186280640).

244157920151040 is an abundant number, since it is smaller than the sum of its proper divisors (835088452410240).

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

244157920151040 is a wasteful number, since it uses less digits than its factorization.

244157920151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43877 (or 43848 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 244157920151040 in words is "two hundred forty-four trillion, one hundred fifty-seven billion, nine hundred twenty million, one hundred fifty-one thousand, forty".