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244334130444 = 223219499715859
BaseRepresentation
bin1110001110001101110…
…0101111010100001100
3212100200001202212020200
43203203130233110030
513000344014133234
6304125012213500
723436553561425
oct3434334572414
9770601685220
10244334130444
1194692279628
123b42b00a290
131a06b2b0c61
14bb7c13c64c
1565506d2d99
hex38e372f50c

244334130444 has 72 divisors (see below), whose sum is σ = 651432600000. Its totient is φ = 77003413344.

The previous prime is 244334130427. The next prime is 244334130461. The reversal of 244334130444 is 444031433442.

244334130444 is a `hidden beast` number, since 2 + 4 + 4 + 3 + 341 + 304 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (244334130427) and next prime (244334130461).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 244334130399 and 244334130408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16614 + ... + 699245.

It is an arithmetic number, because the mean of its divisors is an integer number (9047675000).

Almost surely, 2244334130444 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 244334130444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325716300000).

244334130444 is an abundant number, since it is smaller than the sum of its proper divisors (407098469556).

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

244334130444 is a wasteful number, since it uses less digits than its factorization.

244334130444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716387 (or 716382 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 244334130444 its reverse (444031433442), we get a palindrome (688365563886).

The spelling of 244334130444 in words is "two hundred forty-four billion, three hundred thirty-four million, one hundred thirty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 499 684 998 1497 1996 2994 4491 5988 8982 9481 17964 18962 28443 37924 56886 85329 113772 170658 341316 715859 1431718 2147577 2863436 4295154 6442731 8590308 12885462 13601321 25770924 27202642 40803963 54405284 81607926 122411889 163215852 244823778 357213641 489647556 714427282 1071640923 1428854564 2143281846 3214922769 4286563692 6429845538 6787059179 12859691076 13574118358 20361177537 27148236716 40722355074 61083532611 81444710148 122167065222 244334130444