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4221417431144 = 234728339671993
BaseRepresentation
bin111101011011100000000…
…101100010000001101000
3112221120012211122121200002
4331123200011202001220
51023130430330244034
612551143054002132
7613662442056254
oct75334005420150
915846184577602
104221417431144
1113883250a6891
125821801a6348
13248102365094
14108463a75264
1574c1e834e7e
hex3d6e0162068

4221417431144 has 32 divisors (see below), whose sum is σ = 8112129333120. Its totient is φ = 2058500320896.

The previous prime is 4221417431131. The next prime is 4221417431171. The reversal of 4221417431144 is 4411347141224.

It is a super-2 number, since 2×42214174311442 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4221417431098 and 4221417431107.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 19729589 + ... + 19942404.

It is an arithmetic number, because the mean of its divisors is an integer number (253504041660).

Almost surely, 24221417431144 is an apocalyptic number.

It is an amenable number.

4221417431144 is a deficient number, since it is larger than the sum of its proper divisors (3890711901976).

4221417431144 is a wasteful number, since it uses less digits than its factorization.

4221417431144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39672329 (or 39672325 counting only the distinct ones).

The product of its digits is 86016, while the sum is 38.

The spelling of 4221417431144 in words is "four trillion, two hundred twenty-one billion, four hundred seventeen million, four hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 47 94 188 283 376 566 1132 2264 13301 26602 53204 106408 39671993 79343986 158687972 317375944 1864583671 3729167342 7458334684 11227174019 14916669368 22454348038 44908696076 89817392152 527677178893 1055354357786 2110708715572 4221417431144