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142653252060 = 22355112668411
BaseRepresentation
bin1000010011011011001…
…0111110000111011100
3111122012202021001100000
42010312302332013130
54314123213031220
6145311202134300
713210036431024
oct2046662760734
9448182231300
10142653252060
1155554050740
1223792351390
13105b548b627
146c93b72a84
153a9db20390
hex2136cbe1dc

142653252060 has 144 divisors (see below), whose sum is σ = 489536191872. Its totient is φ = 34582593600.

The previous prime is 142653252059. The next prime is 142653252067. The reversal of 142653252060 is 60252356241.

142653252060 is a `hidden beast` number, since 1 + 4 + 26 + 53 + 2 + 520 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142653252067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1280746 + ... + 1387665.

It is an arithmetic number, because the mean of its divisors is an integer number (3399556888).

Almost surely, 2142653252060 is an apocalyptic number.

142653252060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142653252060 is an abundant number, since it is smaller than the sum of its proper divisors (346882939812).

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

142653252060 is a wasteful number, since it uses less digits than its factorization.

142653252060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2668446 (or 2668432 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 142653252060 in words is "one hundred forty-two billion, six hundred fifty-three million, two hundred fifty-two thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 243 270 297 324 330 396 405 486 495 540 594 660 810 891 972 990 1188 1215 1485 1620 1782 1980 2430 2673 2970 3564 4455 4860 5346 5940 8910 10692 13365 17820 26730 53460 2668411 5336822 8005233 10673644 13342055 16010466 24015699 26684110 29352521 32020932 40026165 48031398 53368220 58705042 72047097 80052330 88057563 96062796 117410084 120078495 144094194 146762605 160104660 176115126 216141291 240156990 264172689 288188388 293525210 352230252 360235485 432282582 440287815 480313980 528345378 587050420 648423873 720470970 792518067 864565164 880575630 1056690756 1080706455 1296847746 1320863445 1440941940 1585036134 1761151260 2161412910 2377554201 2593695492 2641726890 3170072268 3242119365 3962590335 4322825820 4755108402 5283453780 6484238730 7132662603 7925180670 9510216804 11887771005 12968477460 14265325206 15850361340 23775542010 28530650412 35663313015 47551084020 71326626030 142653252060