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2141243043444 = 22322341439143677
BaseRepresentation
bin11111001010001100000…
…001111110111001110100
321120200220220112212202100
4133022030001332321310
5240040231204342234
64315401245342100
7310461666364521
oct37121401767164
97520826485670
102141243043444
1175610696a95a
122a6ba1b67930
13126bc280b71b
14758cb214148
153aa72ddd399
hex1f28c07ee74

2141243043444 has 144 divisors (see below), whose sum is σ = 5798890056960. Its totient is φ = 664541729280.

The previous prime is 2141243043427. The next prime is 2141243043449. The reversal of 2141243043444 is 4443403421412.

2141243043444 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 2 + 4 + 304 + 344 + 4 = 666.

It is a super-2 number, since 2×21412430434442 (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 junction number, because it is equal to n+sod(n) for n = 2141243043399 and 2141243043408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141243043449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14831334 + ... + 14975010.

It is an arithmetic number, because the mean of its divisors is an integer number (40270069840).

Almost surely, 22141243043444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141243043444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2899445028480).

2141243043444 is an abundant number, since it is smaller than the sum of its proper divisors (3657647013516).

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

2141243043444 is a wasteful number, since it uses less digits than its factorization.

2141243043444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144190 (or 144185 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 2141243043444 its reverse (4443403421412), we get a palindrome (6584646464856).

The spelling of 2141243043444 in words is "two trillion, one hundred forty-one billion, two hundred forty-three million, forty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 41 46 69 82 92 123 138 164 207 246 276 369 414 439 492 738 828 878 943 1317 1476 1756 1886 2634 2829 3772 3951 5268 5658 7902 8487 10097 11316 15804 16974 17999 20194 30291 33948 35998 40388 53997 60582 71996 90873 107994 121164 143677 161991 181746 215988 287354 323982 363492 413977 431031 574708 647964 827954 862062 1241931 1293093 1655908 1724124 2483862 2586186 3304571 3725793 4967724 5172372 5890757 6609142 7451586 9913713 11781514 13218284 14903172 17672271 19827426 23563028 29741139 35344542 39654852 53016813 59482278 63074203 70689084 106033626 118964556 126148406 135487411 189222609 212067252 252296812 270974822 378445218 406462233 541949644 567667827 756890436 812924466 1135335654 1219386699 1450706669 1625848932 2270671308 2438773398 2586042323 2901413338 4352120007 4877546796 5172084646 5802826676 7758126969 8704240014 10344169292 13056360021 15516253938 17408480028 23274380907 26112720042 31032507876 46548761814 52225440084 59478973429 93097523628 118957946858 178436920287 237915893716 356873840574 535310760861 713747681148 1070621521722 2141243043444