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10142124041430 = 2325943911938793
BaseRepresentation
bin1001001110010110010110…
…1100110110010011010110
31022220120121001200121122200
42103211211230312103112
52312132032223311210
633323121044305330
72064513200641233
oct223454554662326
938816531617580
1010142124041430
1132602836869a7
1211797409a2246
13587523aa5164
14270c4a8a478a
15128c4737a0c0
hex93965b364d6

10142124041430 has 48 divisors (see below), whose sum is σ = 26372318394240. Its totient is φ = 2704279653504.

The previous prime is 10142124041393. The next prime is 10142124041479. The reversal of 10142124041430 is 3414042124101.

10142124041430 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 2 + 1 + 240 + 414 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10142124041394 and 10142124041403.

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, 5119887 + ... + 6818906.

It is an arithmetic number, because the mean of its divisors is an integer number (549423299880).

Almost surely, 210142124041430 is an apocalyptic number.

10142124041430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10142124041430 is an abundant number, since it is smaller than the sum of its proper divisors (16230194352810).

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

10142124041430 is a wasteful number, since it uses less digits than its factorization.

10142124041430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11948245 (or 11948242 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10142124041430 its reverse (3414042124101), we get a palindrome (13556166165531).

The spelling of 10142124041430 in words is "ten trillion, one hundred forty-two billion, one hundred twenty-four million, forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 9439 18878 28317 47195 56634 84951 94390 141585 169902 283170 424755 849510 11938793 23877586 35816379 59693965 71632758 107449137 119387930 179081895 214898274 358163790 537245685 1074491370 112690267127 225380534254 338070801381 563451335635 676141602762 1014212404143 1126902671270 1690354006905 2028424808286 3380708013810 5071062020715 10142124041430