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441838007442 = 233131767552589
BaseRepresentation
bin1100110110111111001…
…10001111010010010010
31120020110110011100201000
412123133212033102102
524214341012214232
6534551053522430
743631105045046
oct6333746172222
91506413140630
10441838007442
11160423044657
127176a7a3416
133288542a570
14175568dc026
15b75e94527c
hex66df98f492

441838007442 has 128 divisors (see below), whose sum is σ = 1136301868800. Its totient is φ = 126043112448.

The previous prime is 441838007441. The next prime is 441838007461. The reversal of 441838007442 is 244700838144.

It is not an unprimeable number, because it can be changed into a prime (441838007441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 523284 + ... + 1075872.

It is an arithmetic number, because the mean of its divisors is an integer number (8877358350).

Almost surely, 2441838007442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441838007442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568150934400).

441838007442 is an abundant number, since it is smaller than the sum of its proper divisors (694463861358).

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

441838007442 is a wasteful number, since it uses less digits than its factorization.

441838007442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552697 (or 552691 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 441838007442 in words is "four hundred forty-one billion, eight hundred thirty-eight million, seven thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 67 78 102 117 134 153 201 221 234 306 351 402 442 459 603 663 702 871 918 1139 1206 1326 1742 1809 1989 2278 2613 3417 3618 3978 5226 5967 6834 7839 10251 11934 14807 15678 20502 23517 29614 30753 44421 47034 61506 88842 133263 266526 399789 552589 799578 1105178 1657767 3315534 4973301 7183657 9394013 9946602 14367314 14919903 18788026 21550971 28182039 29839806 37023463 43101942 56364078 64652913 74046926 84546117 111070389 122122169 129305826 169092234 193958739 222140778 244244338 253638351 333211167 366366507 387917478 481305019 507276702 629398871 666422334 732733014 962610038 999633501 1099099521 1258797742 1443915057 1888196613 1999267002 2198199042 2887830114 3297298563 3776393226 4331745171 5664589839 6594597126 8182185323 8663490342 11329179678 12995235513 16364370646 16993769517 24546555969 25990471026 33987539034 49093111938 73639667907 147279335814 220919003721 441838007442