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34242212412 = 22322358017129
BaseRepresentation
bin11111111000111111…
…101011001000111100
310021101101202121210100
4133320333223020330
51030112001244122
623421453241100
72321361001032
oct377077531074
9107341677710
1034242212412
1113581922001
126777793190
1332c9230665
14192ba0c552
15d56295aac
hex7f8feb23c

34242212412 has 72 divisors (see below), whose sum is σ = 90348279840. Its totient is φ = 10914393600.

The previous prime is 34242212401. The next prime is 34242212461. The reversal of 34242212412 is 21421224243.

It is a happy number.

34242212412 is a `hidden beast` number, since 3 + 4 + 24 + 221 + 2 + 412 = 666.

It is a super-2 number, since 2×342422124122 (a number of 22 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4799664 + ... + 4806792.

It is an arithmetic number, because the mean of its divisors is an integer number (1254837220).

Almost surely, 234242212412 is an apocalyptic number.

It is an amenable number.

34242212412 is an abundant number, since it is smaller than the sum of its proper divisors (56106067428).

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

34242212412 is a wasteful number, since it uses less digits than its factorization.

34242212412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12963 (or 12958 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

Adding to 34242212412 its reverse (21421224243), we get a palindrome (55663436655).

The spelling of 34242212412 in words is "thirty-four billion, two hundred forty-two million, two hundred twelve thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 5801 7129 11602 14258 17403 21387 23204 28516 34806 42774 52209 64161 69612 85548 104418 128322 133423 163967 208836 256644 266846 327934 400269 491901 533692 655868 800538 983802 1200807 1475703 1601076 1967604 2401614 2951406 4803228 5902812 41355329 82710658 124065987 165421316 248131974 372197961 496263948 744395922 951172567 1488791844 1902345134 2853517701 3804690268 5707035402 8560553103 11414070804 17121106206 34242212412