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42124412322 = 23271127259537
BaseRepresentation
bin100111001110110011…
…111000010110100010
311000201201111212100100
4213032303320112202
51142232322143242
631203544203230
73020611411506
oct471663702642
9130651455310
1042124412322
1116957150503
1281b7469516
133c84239c85
1420787b0306
15116827254c
hex9cecf85a2

42124412322 has 48 divisors (see below), whose sum is σ = 93284186112. Its totient is φ = 13734645120.

The previous prime is 42124412303. The next prime is 42124412333. The reversal of 42124412322 is 22321442124.

It is a happy number.

42124412322 is a `hidden beast` number, since 4 + 212 + 4 + 412 + 32 + 2 = 666.

It is a super-2 number, since 2×421244123222 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32538 + ... + 292074.

It is an arithmetic number, because the mean of its divisors is an integer number (1943420544).

Almost surely, 242124412322 is an apocalyptic number.

42124412322 is an abundant number, since it is smaller than the sum of its proper divisors (51159773790).

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

42124412322 is a wasteful number, since it uses less digits than its factorization.

42124412322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259743 (or 259740 counting only the distinct ones).

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

Adding to 42124412322 its reverse (22321442124), we get a palindrome (64445854446).

The spelling of 42124412322 in words is "forty-two billion, one hundred twenty-four million, four hundred twelve thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 71 127 142 213 254 381 426 639 762 1143 1278 2286 9017 18034 27051 54102 81153 162306 259537 519074 778611 1557222 2335833 4671666 18427127 32961199 36854254 55281381 65922398 98883597 110562762 165844143 197767194 296650791 331688286 593301582 2340245129 4680490258 7020735387 14041470774 21062206161 42124412322