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12444242340 = 2235373556043
BaseRepresentation
bin10111001011011110…
…00001000110100100
31012010021001000021110
423211233001012210
5200441211223330
65414455145020
7620244212625
oct134557010644
935107030243
1012444242340
1153064a5502
1224b3675170
1312341c690a
14860a1ba4c
154cc772db0
hex2e5bc11a4

12444242340 has 48 divisors (see below), whose sum is σ = 34937356608. Its totient is φ = 3309561984.

The previous prime is 12444242323. The next prime is 12444242341. The reversal of 12444242340 is 4324244421.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12444242298 and 12444242307.

It is not an unprimeable number, because it can be changed into a prime (12444242341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255642 + ... + 300401.

It is an arithmetic number, because the mean of its divisors is an integer number (727861596).

Almost surely, 212444242340 is an apocalyptic number.

12444242340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12444242340 is an abundant number, since it is smaller than the sum of its proper divisors (22493114268).

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

12444242340 is a wasteful number, since it uses less digits than its factorization.

12444242340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556428 (or 556426 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 12444242340 its reverse (4324244421), we get a palindrome (16768486761).

The spelling of 12444242340 in words is "twelve billion, four hundred forty-four million, two hundred forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 373 746 1119 1492 1865 2238 3730 4476 5595 7460 11190 22380 556043 1112086 1668129 2224172 2780215 3336258 5560430 6672516 8340645 11120860 16681290 33362580 207404039 414808078 622212117 829616156 1037020195 1244424234 2074040390 2488848468 3111060585 4148080780 6222121170 12444242340