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445016556141234 = 237119713463286459
BaseRepresentation
bin110010100101111010111110…
…1101111110111101010110010
32011100200011111221121101000120
41211023311331233313222302
5431312122401333004414
64214245441131231110
7162510246054441540
oct14513657557675262
92140604457541016
10445016556141234
11119883509425180
1241ab32342a8496
1316140b5bc4353c
147bc6cb8248d90
15366ad7dcba2a9
hex194bd7dbf7ab2

445016556141234 has 128 divisors (see below), whose sum is σ = 1111119104655360. Its totient is φ = 115435928174400.

The previous prime is 445016556141193. The next prime is 445016556141239. The reversal of 445016556141234 is 432141655610544.

It is not an unprimeable number, because it can be changed into a prime (445016556141239) 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, 1553365497 + ... + 1553651955.

It is an arithmetic number, because the mean of its divisors is an integer number (8680618005120).

Almost surely, 2445016556141234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445016556141234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555559552327680).

445016556141234 is an abundant number, since it is smaller than the sum of its proper divisors (666102548514126).

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

445016556141234 is a wasteful number, since it uses less digits than its factorization.

445016556141234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290916.

The product of its (nonzero) digits is 6912000, while the sum is 51.

The spelling of 445016556141234 in words is "four hundred forty-five trillion, sixteen billion, five hundred fifty-six million, one hundred forty-one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 971 1942 2913 3463 5826 6797 6926 10389 10681 13594 20391 20778 21362 24241 32043 38093 40782 48482 64086 72723 74767 76186 114279 145446 149534 224301 228558 266651 286459 448602 533302 572918 799953 859377 1599906 1718754 2005213 3151049 3362573 4010426 6015639 6302098 6725146 9453147 10087719 12031278 18906294 20175438 22057343 23538011 36988303 44114686 47076022 66172029 70614033 73976606 110964909 132344058 141228066 221929818 258918121 278151689 517836242 556303378 776754363 834455067 992007517 1553508726 1668910134 1947061823 1984015034 2976022551 3059668579 3894123646 5841185469 5952045102 6119337158 6944052619 9179005737 10912082687 11682370938 13888105238 18358011474 20832157857 21417680053 21824165374 32736248061 41664315714 42835360106 64253040159 65472496122 76384578809 128506080318 152769157618 229153736427 458307472854 963239299007 1926478598014 2889717897021 5779435794042 6742675093049 10595632289077 13485350186098 20228025279147 21191264578154 31786896867231 40456050558294 63573793734462 74169426023539 148338852047078 222508278070617 445016556141234