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1144444324212 = 2232743941112237
BaseRepresentation
bin10000101001110110001…
…100101000100101110100
311001102000021220100220200
4100221312030220211310
5122222310221333322
62233430033400500
7145453253151540
oct20516614504564
94042007810820
101144444324212
114013a0a92652
12165974109130
1383bc783c677
143d56a00aa20
151eb827298ac
hex10a76328974

1144444324212 has 144 divisors (see below), whose sum is σ = 3386685574272. Its totient is φ = 319037564160.

The previous prime is 1144444324147. The next prime is 1144444324229. The reversal of 1144444324212 is 2124234444411.

1144444324212 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 4 + 4 + 432 + 4 + 212 = 666.

It is a super-2 number, since 2×11444443242122 (a number of 25 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 10140558 + ... + 10252794.

Almost surely, 21144444324212 is an apocalyptic number.

1144444324212 is a gapful number since it is divisible by the number (12) 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 1144444324212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693342787136).

1144444324212 is an abundant number, since it is smaller than the sum of its proper divisors (2242241250060).

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

1144444324212 is a wasteful number, since it uses less digits than its factorization.

1144444324212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113238 (or 113233 counting only the distinct ones).

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

Adding to 1144444324212 its reverse (2124234444411), we get a palindrome (3268678768623).

The spelling of 1144444324212 in words is "one trillion, one hundred forty-four billion, four hundred forty-four million, three hundred twenty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 252 258 301 387 516 602 774 903 941 1204 1548 1806 1882 2709 2823 3612 3764 5418 5646 6587 8469 10836 11292 13174 16938 19761 26348 33876 39522 40463 59283 79044 80926 112237 118566 121389 161852 224474 237132 242778 283241 336711 364167 448948 485556 566482 673422 728334 785659 849723 1010133 1132964 1346844 1456668 1571318 1699446 2020266 2356977 2549169 3142636 3398892 4040532 4713954 4826191 5098338 7070931 9427908 9652382 10196676 14141862 14478573 19304764 28283724 28957146 33783337 43435719 57914292 67566674 86871438 101350011 105615017 135133348 173742876 202700022 211230034 304050033 316845051 405400044 422460068 608100066 633690102 739305119 950535153 1216200132 1267380204 1478610238 1901070306 2217915357 2957220476 3802140612 4435830714 4541445731 6653746071 8871661428 9082891462 13307492142 13624337193 18165782924 26614984284 27248674386 31790120117 40873011579 54497348772 63580240234 81746023158 95370360351 127160480468 163492046316 190740720702 286111081053 381481441404 572222162106 1144444324212