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444842227004 = 227237229267863
BaseRepresentation
bin1100111100100101010…
…10011011010100111100
31120112012211010112012012
412132102222123110330
524242014102231004
6540205132430352
744065414353500
oct6362252332474
91515184115165
10444842227004
1116172492723a
12722689183b8
1332c4395b586
141775d8c2300
15b88856e46e
hex6792a9b53c

444842227004 has 72 divisors (see below), whose sum is σ = 934111412640. Its totient is φ = 184683348864.

The previous prime is 444842226989. The next prime is 444842227033. The reversal of 444842227004 is 400722248444.

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, 1526777 + ... + 1794639.

It is an arithmetic number, because the mean of its divisors is an integer number (12973769620).

Almost surely, 2444842227004 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 444842227004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467055706320).

444842227004 is an abundant number, since it is smaller than the sum of its proper divisors (489269185636).

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

444842227004 is a wasteful number, since it uses less digits than its factorization.

444842227004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268147 (or 268138 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 41.

The spelling of 444842227004 in words is "four hundred forty-four billion, eight hundred forty-two million, two hundred twenty-seven thousand, four".

Divisors: 1 2 4 7 14 28 37 49 74 98 148 196 229 259 458 518 916 1036 1603 1813 3206 3626 6412 7252 8473 11221 16946 22442 33892 44884 59311 118622 237244 267863 415177 535726 830354 1071452 1660708 1875041 3750082 7500164 9910931 13125287 19821862 26250574 39643724 52501148 61340627 69376517 122681254 138753034 245362508 277506068 429384389 485635619 858768778 971271238 1717537556 1942542476 2269603199 3005690723 4539206398 6011381446 9078412796 12022762892 15887222393 31774444786 63548889572 111210556751 222421113502 444842227004