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244214212432140 = 22365231451950159
BaseRepresentation
bin110111100001110010001101…
…011000011001000100001100
31012000200122120100201211000000
4313201302031120121010030
5224002201201340312030
62223222243235404300
7102303615563123616
oct6741621530310414
91160618510654000
10244214212432140
11708a57362a2875
1223482425753690
13a6363bc29aca2
144444060cd3db6
151d3788acd1860
hexde1c8d61910c

244214212432140 has 336 divisors, whose sum is σ = 802425715660800. Its totient is φ = 62286788640384.

The previous prime is 244214212432139. The next prime is 244214212432199. The reversal of 244214212432140 is 41234212412442.

244214212432140 is a `hidden beast` number, since 2 + 4 + 4 + 2 + 1 + 4 + 212 + 432 + 1 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 244214212432095 and 244214212432104.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4868776381 + ... + 4868826539.

It is an arithmetic number, because the mean of its divisors is an integer number (2388171772800).

Almost surely, 2244214212432140 is an apocalyptic number.

244214212432140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244214212432140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401212857830400).

244214212432140 is an abundant number, since it is smaller than the sum of its proper divisors (558211503228660).

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

244214212432140 is a wasteful number, since it uses less digits than its factorization.

244214212432140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64728 (or 64711 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 244214212432140 its reverse (41234212412442), we get a palindrome (285448424844582).

The spelling of 244214212432140 in words is "two hundred forty-four trillion, two hundred fourteen billion, two hundred twelve million, four hundred thirty-two thousand, one hundred forty".