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4440004074 = 23211127317557
BaseRepresentation
bin1000010001010010…
…10001010111101010
3102110102122120120100
410020221101113222
533043120112244
62012324410230
7215012261202
oct41051212752
912412576510
104440004074
1119792a2860
12a3ab46976
13559b2b65c
1430196d402
151aebdbb69
hex108a515ea

4440004074 has 96 divisors (see below), whose sum is σ = 10629605376. Its totient is φ = 1328261760.

The previous prime is 4440004013. The next prime is 4440004141. The reversal of 4440004074 is 4704000444.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7971004 + ... + 7971560.

It is an arithmetic number, because the mean of its divisors is an integer number (110725056).

Almost surely, 24440004074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4440004074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5314802688).

4440004074 is an abundant number, since it is smaller than the sum of its proper divisors (6189601302).

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

4440004074 is a wasteful number, since it uses less digits than its factorization.

4440004074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 4440004074 is about 66633.3555661127. The cubic root of 4440004074 is about 1643.5936556779.

The spelling of 4440004074 in words is "four billion, four hundred forty million, four thousand, seventy-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 127 198 254 317 381 557 634 762 951 1114 1143 1397 1671 1902 2286 2794 2853 3342 3487 4191 5013 5706 6127 6974 8382 10026 10461 12254 12573 18381 20922 25146 31383 36762 40259 55143 62766 70739 80518 110286 120777 141478 176569 212217 241554 353138 362331 424434 442849 529707 636651 724662 778129 885698 1059414 1273302 1328547 1556258 1589121 1942259 2334387 2657094 3178242 3884518 3985641 4668774 5826777 7003161 7971282 11653554 14006322 17480331 22424263 34960662 44848526 67272789 134545578 201818367 246666893 403636734 493333786 740000679 1480001358 2220002037 4440004074