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444042112404 = 223112367833281
BaseRepresentation
bin1100111011000101111…
…10001110110110010100
31120110011001120111022010
412131202332032312110
524233344240044104
6535553511304220
744036530452042
oct6354276166624
91513131514263
10444042112404
11161354218300
127208497b070
1332b46c68497
14176c5527392
15b83d1c3489
hex6762f8ed94

444042112404 has 72 divisors (see below), whose sum is σ = 1141956317824. Its totient is φ = 134191411200.

The previous prime is 444042112373. The next prime is 444042112411. The reversal of 444042112404 is 404211240444.

It is a congruent number.

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, 116244 + ... + 949524.

Almost surely, 2444042112404 is an apocalyptic number.

444042112404 is a gapful number since it is divisible by the number (44) 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 444042112404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570978158912).

444042112404 is an abundant number, since it is smaller than the sum of its proper divisors (697914205420).

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

444042112404 is a wasteful number, since it uses less digits than its factorization.

444042112404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833677 (or 833664 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 444042112404 its reverse (404211240444), we get a palindrome (848253352848).

The spelling of 444042112404 in words is "four hundred forty-four billion, forty-two million, one hundred twelve thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 367 484 726 734 1101 1452 1468 2202 4037 4404 8074 12111 16148 24222 44407 48444 88814 133221 177628 266442 532884 833281 1666562 2499843 3333124 4999686 9166091 9999372 18332182 27498273 36664364 54996546 100827001 109993092 201654002 302481003 305814127 403308004 604962006 611628254 917442381 1209924012 1223256508 1834884762 3363955397 3669769524 6727910794 10091866191 13455821588 20183732382 37003509367 40367464764 74007018734 111010528101 148014037468 222021056202 444042112404