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444533988600340 = 225471513131844361
BaseRepresentation
bin110010100010011010010001…
…0011110110010101000010100
32011021222000220222122100001121
41211010310202132302220110
5431231221102040202330
64213240032314133324
7162430343433145132
oct14504644236625024
92137860828570047
10444533988600340
11119707895651281
1241a357b9421244
13161074b5583832
147bab7ba318752
15365d5387d517a
hex1944d227b2a14

444533988600340 has 48 divisors (see below), whose sum is σ = 959697331536384. Its totient is φ = 172877808672000.

The previous prime is 444533988600283. The next prime is 444533988600341. The reversal of 444533988600340 is 43006889335444.

It is a super-2 number, since 2×4445339886003402 (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444533988600341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1565780241 + ... + 1566064120.

It is an arithmetic number, because the mean of its divisors is an integer number (19993694407008).

Almost surely, 2444533988600340 is an apocalyptic number.

It is an amenable number.

444533988600340 is an abundant number, since it is smaller than the sum of its proper divisors (515163342936044).

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

444533988600340 is a wasteful number, since it uses less digits than its factorization.

444533988600340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131844568 (or 3131844566 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 61.

The spelling of 444533988600340 in words is "four hundred forty-four trillion, five hundred thirty-three billion, nine hundred eighty-eight million, six hundred thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 47 94 151 188 235 302 470 604 755 940 1510 3020 7097 14194 28388 35485 70970 141940 3131844361 6263688722 12527377444 15659221805 31318443610 62636887220 147196684967 294393369934 472908498511 588786739868 735983424835 945816997022 1471966849670 1891633994044 2364542492555 2943933699340 4729084985110 9458169970220 22226699430017 44453398860034 88906797720068 111133497150085 222266994300170 444533988600340