Search a number
-
+
142423243210360 = 23574813105683449
BaseRepresentation
bin100000011000100001111110…
…110100011011111001111000
3200200021112021200212012001001
4200120201332310123321320
5122131430300230212420
61222524200142534344
741666511510520630
oct4030417664337170
9620245250765031
10142423243210360
11414203a390a392
1213b826b3b973b4
1361615b9b783c8
142725470c5b6c0
15116eb4e714b0a
hex81887ed1be78

142423243210360 has 64 divisors (see below), whose sum is σ = 366307292376000. Its totient is φ = 48820680170496.

The previous prime is 142423243210337. The next prime is 142423243210361. The reversal of 142423243210360 is 63012342324241.

It is a happy number.

142423243210360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1424232432103602 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142423243210361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51494085 + ... + 54189364.

It is an arithmetic number, because the mean of its divisors is an integer number (5723551443375).

Almost surely, 2142423243210360 is an apocalyptic number.

142423243210360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142423243210360 is an abundant number, since it is smaller than the sum of its proper divisors (223884049165640).

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

142423243210360 is a wasteful number, since it uses less digits than its factorization.

142423243210360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105688280 (or 105688276 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 37.

The spelling of 142423243210360 in words is "one hundred forty-two trillion, four hundred twenty-three billion, two hundred forty-three million, two hundred ten thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 4813 9626 19252 24065 33691 38504 48130 67382 96260 134764 168455 192520 269528 336910 673820 1347640 105683449 211366898 422733796 528417245 739784143 845467592 1056834490 1479568286 2113668980 2959136572 3698920715 4227337960 5918273144 7397841430 14795682860 29591365720 508654440037 1017308880074 2034617760148 2543272200185 3560581080259 4069235520296 5086544400370 7121162160518 10173088800740 14242324321036 17802905401295 20346177601480 28484648642072 35605810802590 71211621605180 142423243210360