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1446145364004 = 2231179631375819
BaseRepresentation
bin10101000010110100111…
…110110001000000100100
312010020202100122011120120
4111002310332301000210
5142143201203122004
63024203334001540
7206323554526665
oct25026476610044
95106670564516
101446145364004
115083413a2260
121b43331a62b0
13a64a8bbcba3
144ddcb02536c
152793e3e53d9
hex150b4fb1024

1446145364004 has 48 divisors (see below), whose sum is σ = 3681562241280. Its totient is φ = 438170516640.

The previous prime is 1446145364003. The next prime is 1446145364011. The reversal of 1446145364004 is 4004635416441.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1446145364003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 363207 + ... + 1739025.

It is an arithmetic number, because the mean of its divisors is an integer number (76699213360).

Almost surely, 21446145364004 is an apocalyptic number.

It is an amenable number.

1446145364004 is an abundant number, since it is smaller than the sum of its proper divisors (2235416877276).

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

1446145364004 is a wasteful number, since it uses less digits than its factorization.

1446145364004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383800 (or 1383798 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 1446145364004 in words is "one trillion, four hundred forty-six billion, one hundred forty-five million, three hundred sixty-four thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 7963 15926 23889 31852 47778 87593 95556 175186 262779 350372 525558 1051116 1375819 2751638 4127457 5503276 8254914 15134009 16509828 30268018 45402027 60536036 90804054 181608108 10955646697 21911293394 32866940091 43822586788 65733880182 120512113667 131467760364 241024227334 361536341001 482048454668 723072682002 1446145364004