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142723124010 = 23353721167709
BaseRepresentation
bin1000010011101011110…
…1100000101100101010
3111122101121201220122000
42010322331200230222
54314244104432020
6145322135511430
713211545352235
oct2047275405452
9448347656560
10142723124010
115558a534555
12237b1828576
13105c6ab3a8c
146c9d16041c
153aa4d23090
hex213af60b2a

142723124010 has 128 divisors (see below), whose sum is σ = 392739667200. Its totient is φ = 36854818560.

The previous prime is 142723123987. The next prime is 142723124029. The reversal of 142723124010 is 10421327241.

142723124010 is a `hidden beast` number, since 1 + 4 + 27 + 231 + 2 + 401 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2074036 + ... + 2141744.

It is an arithmetic number, because the mean of its divisors is an integer number (3068278650).

Almost surely, 2142723124010 is an apocalyptic number.

142723124010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142723124010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196369833600).

142723124010 is an abundant number, since it is smaller than the sum of its proper divisors (250016543190).

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

142723124010 is a wasteful number, since it uses less digits than its factorization.

142723124010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67973 (or 67967 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 142723124010 in words is "one hundred forty-two billion, seven hundred twenty-three million, one hundred twenty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 90 111 135 185 211 222 270 333 370 422 555 633 666 999 1055 1110 1266 1665 1899 1998 2110 3165 3330 3798 4995 5697 6330 7807 9495 9990 11394 15614 18990 23421 28485 39035 46842 56970 67709 70263 78070 117105 135418 140526 203127 210789 234210 338545 351315 406254 421578 609381 677090 702630 1015635 1053945 1218762 1828143 2031270 2107890 2505233 3046905 3656286 5010466 6093810 7515699 9140715 12526165 14286599 15031398 18281430 22547097 25052330 28573198 37578495 42859797 45094194 67641291 71432995 75156990 85719594 112735485 128579391 135282582 142865990 214298985 225470970 257158782 338206455 385738173 428597970 528604163 642896955 676412910 771476346 1057208326 1285793910 1585812489 1928690865 2643020815 3171624978 3857381730 4757437467 5286041630 7929062445 9514874934 14272312401 15858124890 23787187335 28544624802 47574374670 71361562005 142723124010