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142266550240 = 2551816537523
BaseRepresentation
bin1000010001111110111…
…1110100011111100000
3111121012210121120011101
42010133233310133200
54312330214101430
6145204545524144
713164332503333
oct2043757643740
9447183546141
10142266550240
1155375838961
12236a4943654
1310553324b99
146c5867061a
153a79bd6dca
hex211fbf47e0

142266550240 has 96 divisors (see below), whose sum is σ = 338524202016. Its totient is φ = 56498042880.

The previous prime is 142266550207. The next prime is 142266550243. The reversal of 142266550240 is 42055662241.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 142266550240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142266550243) 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, 18907119 + ... + 18914641.

It is an arithmetic number, because the mean of its divisors is an integer number (3526293771).

Almost surely, 2142266550240 is an apocalyptic number.

142266550240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142266550240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169262101008).

142266550240 is an abundant number, since it is smaller than the sum of its proper divisors (196257651776).

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

142266550240 is a wasteful number, since it uses less digits than its factorization.

142266550240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8372 (or 8364 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The spelling of 142266550240 in words is "one hundred forty-two billion, two hundred sixty-six million, five hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 181 362 653 724 905 1306 1448 1810 2612 2896 3265 3620 5224 5792 6530 7240 7523 10448 13060 14480 15046 20896 26120 28960 30092 37615 52240 60184 75230 104480 118193 120368 150460 236386 240736 300920 472772 590965 601840 945544 1181930 1203680 1361663 1891088 2363860 2723326 3782176 4727720 4912519 5446652 6808315 9455440 9825038 10893304 13616630 18910880 19650076 21786608 24562595 27233260 39300152 43573216 49125190 54466520 78600304 98250380 108933040 157200608 196500760 217866080 393001520 786003040 889165939 1778331878 3556663756 4445829695 7113327512 8891659390 14226655024 17783318780 28453310048 35566637560 71133275120 142266550240