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444110313340001 = 72116783148166219
BaseRepresentation
bin110010011111010100111110…
…1011101111011110001100001
32011020110112100022220010102202
41210332221331131323301201
5431202300410203340001
64212313243355022545
7162354624400642400
oct14476517535736141
92136415308803382
10444110313340001
11119564142a48420
124198767943aa55
13160a6565cc9809
147b950a7acd637
1536524dd69496b
hex193ea7d77bc61

444110313340001 has 48 divisors (see below), whose sum is σ = 578886606869760. Its totient is φ = 336787740162720.

The previous prime is 444110313339961. The next prime is 444110313340007. The reversal of 444110313340001 is 100043313011444.

It is a de Polignac number, because none of the positive numbers 2k-444110313340001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (444110313340007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71085731 + ... + 77080488.

It is an arithmetic number, because the mean of its divisors is an integer number (12060137643120).

Almost surely, 2444110313340001 is an apocalyptic number.

It is an amenable number.

444110313340001 is a deficient number, since it is larger than the sum of its proper divisors (134776293529759).

444110313340001 is a wasteful number, since it uses less digits than its factorization.

444110313340001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148166394 (or 148166387 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 444110313340001 its reverse (100043313011444), we get a palindrome (544153626351445).

The spelling of 444110313340001 in words is "four hundred forty-four trillion, one hundred ten billion, three hundred thirteen million, three hundred forty thousand, one".

Divisors: 1 7 11 49 67 77 83 469 539 581 737 913 3283 4067 5159 5561 6391 36113 38927 44737 61171 272489 428197 2997379 148166219 1037163533 1629828409 7260144731 9927136673 11408798863 12297796177 69489956711 79861592041 86084573239 109198503403 135275757947 486429696977 602592012673 764389523821 823952343859 946930305629 5350726666747 5767666407013 6628512139403 9063475782449 40373664849091 63444330477143 444110313340001