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21424013142 = 23721015471319
BaseRepresentation
bin10011111100111110…
…000111111101010110
32001022002001122001020
4103330332013331112
5322334021410032
613501514542010
71355623051500
oct237476077526
961262048036
1021424013142
1190a432a194
12419aa37906
13203571336c
141073488d70
15855ca5b2c
hex4fcf87f56

21424013142 has 96 divisors (see below), whose sum is σ = 50467380480. Its totient is φ = 6044875200.

The previous prime is 21424013119. The next prime is 21424013167. The reversal of 21424013142 is 24131042412.

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 47 ways as a sum of consecutive naturals, for example, 16241959 + ... + 16243277.

It is an arithmetic number, because the mean of its divisors is an integer number (525701880).

Almost surely, 221424013142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21424013142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25233690240).

21424013142 is an abundant number, since it is smaller than the sum of its proper divisors (29043367338).

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

21424013142 is a wasteful number, since it uses less digits than its factorization.

21424013142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 21424013142 its reverse (24131042412), we get a palindrome (45555055554).

The spelling of 21424013142 in words is "twenty-one billion, four hundred twenty-four million, thirteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 101 147 202 294 303 547 606 707 1094 1319 1414 1641 2121 2638 3282 3829 3957 4242 4949 7658 7914 9233 9898 11487 14847 18466 22974 26803 27699 29694 53606 55247 55398 64631 80409 110494 129262 133219 160818 165741 193893 266438 331482 386729 387786 399657 721493 773458 799314 932533 1160187 1442986 1865066 2164479 2320374 2707103 2797599 4328958 5050451 5414206 5595198 6527731 8121309 10100902 13055462 15151353 16242618 19583193 30302706 35353157 39166386 70706314 72870793 106059471 145741586 212118942 218612379 437224758 510095551 1020191102 1530286653 3060573306 3570668857 7141337714 10712006571 21424013142