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142440126660 = 2232513173580697
BaseRepresentation
bin1000010010101000010…
…1111101100011000100
3111121122220020011020200
42010222011331203010
54313204133023120
6145234110130500
713201541046126
oct2045205754304
9447586204220
10142440126660
1155454813447
1223732ab0a30
131058028a020
146c73735216
153a8a071e90
hex212a17d8c4

142440126660 has 144 divisors (see below), whose sum is σ = 492675399216. Its totient is φ = 32999694336.

The previous prime is 142440126607. The next prime is 142440126713. The reversal of 142440126660 is 66621044241.

142440126660 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (142440126607) and next prime (142440126713).

It can be written as a sum of positive squares in 8 ways, for example, as 6911594496 + 135528532164 = 83136^2 + 368142^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1750569 + ... + 1830128.

It is an arithmetic number, because the mean of its divisors is an integer number (3421356939).

Almost surely, 2142440126660 is an apocalyptic number.

142440126660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142440126660 is an abundant number, since it is smaller than the sum of its proper divisors (350235272556).

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

142440126660 is a wasteful number, since it uses less digits than its factorization.

142440126660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3580742 (or 3580737 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 142440126660 in words is "one hundred forty-two billion, four hundred forty million, one hundred twenty-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 17 18 20 26 30 34 36 39 45 51 52 60 65 68 78 85 90 102 117 130 153 156 170 180 195 204 221 234 255 260 306 340 390 442 468 510 585 612 663 765 780 884 1020 1105 1170 1326 1530 1989 2210 2340 2652 3060 3315 3978 4420 6630 7956 9945 13260 19890 39780 3580697 7161394 10742091 14322788 17903485 21484182 32226273 35806970 42968364 46549061 53710455 60871849 64452546 71613940 93098122 107420910 121743698 128905092 139647183 161131365 182615547 186196244 214841820 232745305 243487396 279294366 304359245 322262730 365231094 418941549 465490610 547846641 558588732 608718490 644525460 698235915 730462188 791334037 837883098 913077735 930981220 1095693282 1217436980 1396471830 1582668074 1675766196 1826155470 2094707745 2191386564 2374002111 2739233205 2792943660 3165336148 3652310940 3956670185 4189415490 4748004222 5478466410 7122006333 7913340370 8378830980 9496008444 10956932820 11870010555 14244012666 15826680740 23740021110 28488025332 35610031665 47480042220 71220063330 142440126660