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1000440214344 = 233337125180207
BaseRepresentation
bin11101000111011101110…
…00100011001101001000
310112122022101202122001000
432203232320203031020
5112342400143324334
62043332413455000
7132164561340534
oct16435670431510
93478271678030
101000440214344
113563144684aa
12141a854a1460
137345854a3bc
14365c8ab8bc4
151b055220299
hexe8eee23348

1000440214344 has 64 divisors (see below), whose sum is σ = 2854108742400. Its totient is φ = 324467093952.

The previous prime is 1000440214339. The next prime is 1000440214351. The reversal of 1000440214344 is 4434120440001.

1000440214344 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 440 + 214 + 3 + 4 + 4 = 666.

1000440214344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62582112 + ... + 62598095.

It is an arithmetic number, because the mean of its divisors is an integer number (44595449100).

Almost surely, 21000440214344 is an apocalyptic number.

It is an amenable number.

1000440214344 is an abundant number, since it is smaller than the sum of its proper divisors (1853668528056).

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

1000440214344 is a wasteful number, since it uses less digits than its factorization.

1000440214344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125180259 (or 125180249 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 1000440214344 its reverse (4434120440001), we get a palindrome (5434560654345).

The spelling of 1000440214344 in words is "one trillion, four hundred forty million, two hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1332 1998 2664 3996 7992 125180207 250360414 375540621 500720828 751081242 1001441656 1126621863 1502162484 2253243726 3004324968 3379865589 4506487452 4631667659 6759731178 9012974904 9263335318 13519462356 13895002977 18526670636 27038924712 27790005954 37053341272 41685008931 55580011908 83370017862 111160023816 125055026793 166740035724 250110053586 333480071448 500220107172 1000440214344