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444377371340 = 225761127409723
BaseRepresentation
bin1100111011101101111…
…01001001001011001100
31120111000102102102002202
412131312331021023030
524240041101340330
6540051045141032
744051041222250
oct6356675111314
91514012372082
10444377371340
11161506494301
12721590ba778
1332b9b55cb56
1417717c78260
15b85c849445
hex6776f492cc

444377371340 has 96 divisors (see below), whose sum is σ = 1092527407104. Its totient is φ = 148679919360.

The previous prime is 444377371337. The next prime is 444377371379. The reversal of 444377371340 is 43173773444.

It is a happy number.

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, 879719 + ... + 1289441.

It is an arithmetic number, because the mean of its divisors is an integer number (11380493824).

Almost surely, 2444377371340 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 444377371340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546263703552).

444377371340 is an abundant number, since it is smaller than the sum of its proper divisors (648150035764).

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

444377371340 is a wasteful number, since it uses less digits than its factorization.

444377371340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409927 (or 409925 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 47.

The spelling of 444377371340 in words is "four hundred forty-four billion, three hundred seventy-seven million, three hundred seventy-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 127 140 244 254 305 427 508 610 635 854 889 1220 1270 1708 1778 2135 2540 3556 4270 4445 7747 8540 8890 15494 17780 30988 38735 54229 77470 108458 154940 216916 271145 409723 542290 819446 1084580 1638892 2048615 2868061 4097230 5736122 8194460 11472244 14340305 24993103 28680610 49986206 52034821 57361220 99972412 104069642 124965515 174951721 208139284 249931030 260174105 349903442 364243747 499862060 520348210 699806884 728487494 874758605 1040696420 1456974988 1749517210 1821218735 3174124081 3499034420 3642437470 6348248162 7284874940 12696496324 15870620405 22218868567 31741240810 44437737134 63482481620 88875474268 111094342835 222188685670 444377371340