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440142606241044 = 223719275778575339
BaseRepresentation
bin110010000010011101010111…
…1101100100000110100010100
32010201102012222222222202210120
41210010322233230200310110
5430142244024144203134
64200034415533551540
7161465153044031640
oct14404725754406424
92121365888882716
10440142606241044
11118274481802323
12414467043455b0
1315b79367624065
147a99031539c20
1535d41bc781649
hex1904eafb20d14

440142606241044 has 48 divisors (see below), whose sum is σ = 1235488017523200. Its totient is φ = 119136344546016.

The previous prime is 440142606240973. The next prime is 440142606241067.

440142606241044 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 440142606240987 and 440142606241005.

It is a congruent number.

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, 137889286074 + ... + 137889289265.

It is an arithmetic number, because the mean of its divisors is an integer number (25739333698400).

Almost surely, 2440142606241044 is an apocalyptic number.

It is an amenable number.

440142606241044 is an abundant number, since it is smaller than the sum of its proper divisors (795345411282156).

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

440142606241044 is a wasteful number, since it uses less digits than its factorization.

440142606241044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275778575372 (or 275778575370 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 42.

The spelling of 440142606241044 in words is "four hundred forty trillion, one hundred forty-two billion, six hundred six million, two hundred forty-one thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1596 275778575339 551557150678 827335726017 1103114301356 1654671452034 1930450027373 3309342904068 3860900054746 5239792931441 5791350082119 7721800109492 10479585862882 11582700164238 15719378794323 20959171725764 23165400328476 31438757588646 36678550520087 62877515177292 73357101040174 110035651560261 146714202080348 220071303120522 440142606241044