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22144010031024 = 243785737687483
BaseRepresentation
bin1010000100011110011011…
…10110100000111110110000
32220101221120010120220210120
411002033031312200332300
510400301413031443044
6115032452345530240
74443565132421550
oct502171566407660
986357503526716
1022144010031024
117068249407692
1225977a81a3980
13c4822c1314cb
14567ac0b41160
1528603ab3c519
hex1423cdda0fb0

22144010031024 has 80 divisors (see below), whose sum is σ = 65385187913472. Its totient is φ = 6326121187584.

The previous prime is 22144010030959. The next prime is 22144010031047. The reversal of 22144010031024 is 42013001044122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 22144010030985 and 22144010031003.

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, 963214 + ... + 6724269.

Almost surely, 222144010031024 is an apocalyptic number.

22144010031024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22144010031024 is an abundant number, since it is smaller than the sum of its proper divisors (43241177882448).

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

22144010031024 is a wasteful number, since it uses less digits than its factorization.

22144010031024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7696074 (or 7696068 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 22144010031024 its reverse (42013001044122), we get a palindrome (64157011075146).

The spelling of 22144010031024 in words is "twenty-two trillion, one hundred forty-four billion, ten million, thirty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 8573 17146 25719 34292 51438 60011 68584 102876 120022 137168 180033 205752 240044 360066 411504 480088 720132 960176 1440264 2880528 7687483 15374966 23062449 30749932 46124898 53812381 61499864 92249796 107624762 122999728 161437143 184499592 215249524 322874286 368999184 430499048 645748572 860998096 1291497144 2582994288 65904791759 131809583518 197714375277 263619167036 395428750554 461333542313 527238334072 790857501108 922667084626 1054476668144 1384000626939 1581715002216 1845334169252 2768001253878 3163430004432 3690668338504 5536002507756 7381336677008 11072005015512 22144010031024