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2124433433340 = 2232537446371473
BaseRepresentation
bin11110111010100010000…
…110011010001011111100
321112002112102022012200100
4132322202012122023330
5234301314424331330
64303541245201100
7306325304144061
oct36724206321374
97462472265610
102124433433340
11749a7031aaa9
122a3890560190
131254440b937a
1474b74934c68
153a3dc2c3060
hex1eea219a2fc

2124433433340 has 144 divisors (see below), whose sum is σ = 6619855552128. Its totient is φ = 551073134592.

The previous prime is 2124433433327. The next prime is 2124433433341. The reversal of 2124433433340 is 433343344212.

2124433433340 is a `hidden beast` number, since 2 + 1 + 244 + 3 + 343 + 33 + 40 = 666.

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 = 2124433433295 and 2124433433304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124433433341) 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, 29687844 + ... + 29759316.

It is an arithmetic number, because the mean of its divisors is an integer number (45971219112).

Almost surely, 22124433433340 is an apocalyptic number.

2124433433340 is a gapful number since it is divisible by the number (20) 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 2124433433340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3309927776064).

2124433433340 is an abundant number, since it is smaller than the sum of its proper divisors (4495422118788).

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

2124433433340 is a wasteful number, since it uses less digits than its factorization.

2124433433340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75988 (or 75983 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 2124433433340 its reverse (433343344212), we get a palindrome (2557776777552).

The spelling of 2124433433340 in words is "two trillion, one hundred twenty-four billion, four hundred thirty-three million, four hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 4463 6660 8926 13389 17852 22315 26778 40167 44630 53556 66945 71473 80334 89260 133890 142946 160668 165131 200835 214419 267780 285892 330262 357365 401670 428838 495393 643257 660524 714730 803340 825655 857676 990786 1072095 1286514 1429460 1486179 1651310 1981572 2144190 2476965 2573028 2644501 2972358 3216285 3302620 4288380 4953930 5289002 5944716 6432570 7430895 7933503 9907860 10578004 12865140 13222505 14861790 15867006 23800509 26445010 29723580 31734012 39667515 47601018 52890020 79335030 95202036 119002545 158670060 238005090 318983999 476010180 637967998 956951997 1275935996 1594919995 1913903994 2870855991 3189839990 3827807988 4784759985 5741711982 6379679980 9569519970 11483423964 11802407963 14354279955 19139039940 23604815926 28708559910 35407223889 47209631852 57417119820 59012039815 70814447778 106221671667 118024079630 141628895556 177036119445 212443343334 236048159260 354072238890 424886686668 531108358335 708144477780 1062216716670 2124433433340