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244504046144 = 2643199344579
BaseRepresentation
bin1110001110110110010…
…0111010101001000000
3212101002220111110202202
43203231210322221000
513001221013434034
6304153522132332
723444016046451
oct3435544725100
9771086443682
10244504046144
119476a183826
123b477ab10a8
131a097563aa7
14bb9692d128
15656059847e
hex38ed93aa40

244504046144 has 56 divisors (see below), whose sum is σ = 496731401760. Its totient is φ = 119346361344.

The previous prime is 244504046113. The next prime is 244504046147. The reversal of 244504046144 is 441640405442.

It is a junction number, because it is equal to n+sod(n) for n = 244504046098 and 244504046107.

It is not an unprimeable number, because it can be changed into a prime (244504046147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5462447 + ... + 5507025.

Almost surely, 2244504046144 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 244504046144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248365700880).

244504046144 is an abundant number, since it is smaller than the sum of its proper divisors (252227355616).

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

244504046144 is a wasteful number, since it uses less digits than its factorization.

244504046144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46627 (or 46617 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 38.

The spelling of 244504046144 in words is "two hundred forty-four billion, five hundred four million, forty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 43 64 86 172 344 688 1376 1993 2752 3986 7972 15944 31888 44579 63776 85699 89158 127552 171398 178316 342796 356632 685592 713264 1371184 1426528 1916897 2742368 2853056 3833794 5484736 7667588 15335176 30670352 61340704 88845947 122681408 177691894 355383788 710767576 1421535152 2843070304 3820375721 5686140608 7640751442 15281502884 30563005768 61126011536 122252023072 244504046144