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44242244224244 = 221131111612906161
BaseRepresentation
bin10100000111100111100110…
…10000000100010011110100
312210122111222001212100010222
422003303303100010103310
521244331104010133434
6234032334552433512
712214253025014363
oct1203636320042364
9183574861770128
1044242244224244
1113108037520860
124b6653a0a8898
131b8c0446ab751
14acd49c1777da
1551ac97b8872e
hex283cf34044f4

44242244224244 has 48 divisors (see below), whose sum is σ = 87194903695872. Its totient is φ = 19459647360000.

The previous prime is 44242244224201. The next prime is 44242244224253.

44242244224244 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 44242244224195 and 44242244224204.

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, 13770524 + ... + 16676684.

It is an arithmetic number, because the mean of its divisors is an integer number (1816560493664).

Almost surely, 244242244224244 is an apocalyptic number.

44242244224244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44242244224244 is a deficient number, since it is larger than the sum of its proper divisors (42952659471628).

44242244224244 is a wasteful number, since it uses less digits than its factorization.

44242244224244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2917368 (or 2917366 counting only the distinct ones).

The product of its digits is 4194304, while the sum is 44.

It can be divided in two parts, 4424224 and 4224244, that added together give a palindrome (8648468).

The spelling of 44242244224244 in words is "forty-four trillion, two hundred forty-two billion, two hundred forty-four million, two hundred twenty-four thousand, two hundred forty-four".

Divisors: 1 2 4 11 22 31 44 62 124 341 682 1364 11161 22322 44644 122771 245542 345991 491084 691982 1383964 2906161 3805901 5812322 7611802 11624644 15223604 31967771 63935542 90090991 127871084 180181982 360363964 991000901 1982001802 3964003604 32435662921 64871325842 129742651684 356792292131 713584584262 1005505550551 1427169168524 2011011101102 4022022202204 11060561056061 22121122112122 44242244224244