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24041414142 = 234797972357
BaseRepresentation
bin10110011000111110…
…101101110111111110
32022001111011101020000
4112120332231313332
5343214100223032
615013334535130
71510524435264
oct263076556776
968044141200
1024041414142
11a21782a309
1247ab5074a6
132361a69755
141240d3a434
1595a971e7c
hex598faddfe

24041414142 has 80 divisors (see below), whose sum is σ = 54644103360. Its totient is φ = 7899083712.

The previous prime is 24041414129. The next prime is 24041414179. The reversal of 24041414142 is 24141414042.

It is a happy number.

24041414142 is a `hidden beast` number, since 240 + 4 + 1 + 4 + 1 + 414 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10198828 + ... + 10201184.

It is an arithmetic number, because the mean of its divisors is an integer number (683051292).

Almost surely, 224041414142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24041414142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27322051680).

24041414142 is an abundant number, since it is smaller than the sum of its proper divisors (30602689218).

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

24041414142 is a wasteful number, since it uses less digits than its factorization.

24041414142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3247 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 24041414142 its reverse (24141414042), we get a palindrome (48182828184).

The spelling of 24041414142 in words is "twenty-four billion, forty-one million, four hundred fourteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 79 81 158 162 237 474 711 797 1422 1594 2133 2357 2391 4266 4714 4782 6399 7071 7173 12798 14142 14346 21213 21519 42426 43038 62963 63639 64557 125926 127278 129114 186203 188889 190917 372406 377778 381834 558609 566667 1117218 1133334 1675827 1700001 1878529 3351654 3400002 3757058 5027481 5100003 5635587 10054962 10200006 11271174 15082443 16906761 30164886 33813522 50720283 101440566 148403791 152160849 296807582 304321698 445211373 890422746 1335634119 2671268238 4006902357 8013804714 12020707071 24041414142