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142376565150 = 232524110197573
BaseRepresentation
bin1000010010011001001…
…1011111100110011110
3111121111110121220020200
42010212103133212132
54313041400041100
6145223515524330
713200136556451
oct2044623374636
9447443556220
10142376565150
115542194a776
12237157596a6
1310570063c71
146c6910b498
153a846b8e00
hex21264df99e

142376565150 has 144 divisors (see below), whose sum is σ = 392284423440. Its totient is φ = 36999820800.

The previous prime is 142376565127. The next prime is 142376565193. The reversal of 142376565150 is 51565673241.

142376565150 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 76 + 565 + 15 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 142376565096 and 142376565105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18796764 + ... + 18804336.

It is an arithmetic number, because the mean of its divisors is an integer number (2724197385).

Almost surely, 2142376565150 is an apocalyptic number.

142376565150 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 142376565150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196142211720).

142376565150 is an abundant number, since it is smaller than the sum of its proper divisors (249907858290).

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

142376565150 is a wasteful number, since it uses less digits than its factorization.

142376565150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8651 (or 8643 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 142376565150 in words is "one hundred forty-two billion, three hundred seventy-six million, five hundred sixty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 41 45 50 75 82 90 123 150 205 225 246 369 410 450 615 738 1019 1025 1230 1845 2038 2050 3057 3075 3690 5095 6114 6150 7573 9171 9225 10190 15146 15285 18342 18450 22719 25475 30570 37865 41779 45438 45855 50950 68157 75730 76425 83558 91710 113595 125337 136314 152850 189325 208895 227190 229275 250674 310493 340785 376011 378650 417790 458550 567975 620986 626685 681570 752022 931479 1044475 1135950 1253370 1552465 1703925 1862958 1880055 2088950 2794437 3104930 3133425 3407850 3760110 4657395 5588874 6266850 7716887 7762325 9314790 9400275 13972185 15433774 15524650 18800550 23150661 23286975 27944370 38584435 46301322 46573950 69451983 69860925 77168870 115753305 138903966 139721850 192922175 231506610 316392367 347259915 385844350 578766525 632784734 694519830 949177101 1157533050 1581961835 1736299575 1898354202 2847531303 3163923670 3472599150 4745885505 5695062606 7909809175 9491771010 14237656515 15819618350 23729427525 28475313030 47458855050 71188282575 142376565150