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4144244211324 = 22327215739149269
BaseRepresentation
bin111100010011101000001…
…101000011111001111100
3112200012000111121212002100
4330103220031003321330
51020344403004230244
612451501200025100
7605261143401300
oct74235015037174
915605014555070
104144244211324
1113586228a9578
1256b223002190
13240a53a75a79
141048224d1d00
1572c045e0b69
hex3c4e8343e7c

4144244211324 has 108 divisors (see below), whose sum is σ = 12186907332600. Its totient is φ = 1183986611136.

The previous prime is 4144244211307. The next prime is 4144244211337. The reversal of 4144244211324 is 4231124424414.

4144244211324 is a `hidden beast` number, since 4 + 14 + 424 + 4 + 211 + 3 + 2 + 4 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27688962 + ... + 27838230.

Almost surely, 24144244211324 is an apocalyptic number.

It is an amenable number.

4144244211324 is an abundant number, since it is smaller than the sum of its proper divisors (8042663121276).

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

4144244211324 is a wasteful number, since it uses less digits than its factorization.

4144244211324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165032 (or 165020 counting only the distinct ones).

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

Adding to 4144244211324 its reverse (4231124424414), we get a palindrome (8375368635738).

The spelling of 4144244211324 in words is "four trillion, one hundred forty-four billion, two hundred forty-four million, two hundred eleven thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 15739 31478 47217 62956 94434 110173 141651 149269 188868 220346 283302 298538 330519 440692 447807 566604 597076 661038 771211 895614 991557 1044883 1322076 1343421 1542422 1791228 1983114 2089766 2313633 2686842 3084844 3134649 3966228 4179532 4627266 5373684 6269298 6940899 7314181 9254532 9403947 12538596 13881798 14628362 18807894 21942543 27763596 29256724 37615788 43885086 65827629 87770172 131655258 263310516 2349344791 4698689582 7048034373 9397379164 14096068746 16445413537 21144103119 28192137492 32890827074 42288206238 49336240611 65781654148 84576412476 98672481222 115117894759 148008721833 197344962444 230235789518 296017443666 345353684277 460471579036 592034887332 690707368554 1036061052831 1381414737108 2072122105662 4144244211324