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244542410464 = 251111316093821
BaseRepresentation
bin1110001110111111011…
…1010000111011100000
3212101012120200120201111
43203233313100323200
513001310324113324
6304201412313104
723444663123002
oct3435767207340
9771176616644
10244542410464
11947898a7480
123b488912794
131a0a24a6c81
14bb9ba78372
156563b25794
hex38efdd0ee0

244542410464 has 96 divisors (see below), whose sum is σ = 530326349280. Its totient is φ = 110074675200.

The previous prime is 244542410461. The next prime is 244542410467. The reversal of 244542410464 is 464014245442.

It is an interprime number because it is at equal distance from previous prime (244542410461) and next prime (244542410467).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244542410461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63997674 + ... + 64001494.

It is an arithmetic number, because the mean of its divisors is an integer number (5524232805).

Almost surely, 2244542410464 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 244542410464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265163174640).

244542410464 is an abundant number, since it is smaller than the sum of its proper divisors (285783938816).

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

244542410464 is a wasteful number, since it uses less digits than its factorization.

244542410464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5564 (or 5556 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 40.

The spelling of 244542410464 in words is "two hundred forty-four billion, five hundred forty-two million, four hundred ten thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 113 176 226 352 452 904 1243 1609 1808 2486 3218 3616 3821 4972 6436 7642 9944 12872 15284 17699 19888 25744 30568 35398 39776 42031 51488 61136 70796 84062 122272 141592 168124 181817 283184 336248 363634 431773 566368 672496 727268 863546 1344992 1454536 1727092 1999987 2909072 3454184 3999974 4749503 5818144 6147989 6908368 7999948 9499006 12295978 13816736 15999896 18998012 24591956 31999792 37996024 49183912 63999584 67627879 75992048 98367824 135255758 151984096 196735648 270511516 541023032 694722757 1082046064 1389445514 2164092128 2778891028 5557782056 7641950327 11115564112 15283900654 22231128224 30567801308 61135602616 122271205232 244542410464