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444012120204 = 223175945178167
BaseRepresentation
bin1100111011000010010…
…11110100100010001100
31120110001222010201201220
412131201023310202030
524233314100321304
6535550520403340
744036014515162
oct6354113644214
91513058121656
10444012120204
111613392a2764
1272076916550
1332b40996c13
14176c155b232
15b83a74bad9
hex67612f488c

444012120204 has 96 divisors (see below), whose sum is σ = 1115947445760. Its totient is φ = 136889859072.

The previous prime is 444012120191. The next prime is 444012120241. The reversal of 444012120204 is 402021210444.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54362529 + ... + 54370695.

It is an arithmetic number, because the mean of its divisors is an integer number (11624452560).

Almost surely, 2444012120204 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 444012120204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557973722880).

444012120204 is an abundant number, since it is smaller than the sum of its proper divisors (671935325556).

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

444012120204 is a wasteful number, since it uses less digits than its factorization.

444012120204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12767 (or 12765 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 444012120204 its reverse (402021210444), we get a palindrome (846033330648).

The spelling of 444012120204 in words is "four hundred forty-four billion, twelve million, one hundred twenty thousand, two hundred four".

Divisors: 1 2 3 4 6 12 17 34 51 59 68 102 118 177 204 236 354 708 1003 2006 3009 4012 4517 6018 8167 9034 12036 13551 16334 18068 24501 27102 32668 49002 54204 76789 98004 138839 153578 230367 266503 277678 307156 416517 460734 481853 533006 555356 799509 833034 921468 963706 1066012 1445559 1599018 1666068 1927412 2891118 3198036 4530551 5782236 8191501 9061102 13591653 16383002 18122204 24574503 27183306 32766004 36890339 49149006 54366612 73780678 98298012 110671017 147561356 221342034 442684068 627135763 1254271526 1881407289 2176530001 2508543052 3762814578 4353060002 6529590003 7525629156 8706120004 13059180006 26118360012 37001010017 74002020034 111003030051 148004040068 222006060102 444012120204