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138182283140 = 22511271978291
BaseRepresentation
bin1000000010110001001…
…1100100111110000100
3111012200011100021222112
42000230103210332010
54230444131030030
6143251405520152
712661200012146
oct2005423447604
9435604307875
10138182283140
115366a329600
1222944b73058
131005210aaa5
14698c062c96
1538db368a95
hex202c4e4f84

138182283140 has 144 divisors (see below), whose sum is σ = 326827654272. Its totient is φ = 49023744000.

The previous prime is 138182283139. The next prime is 138182283163. The reversal of 138182283140 is 41382281831.

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, 16662395 + ... + 16670685.

It is an arithmetic number, because the mean of its divisors is an integer number (2269636488).

Almost surely, 2138182283140 is an apocalyptic number.

138182283140 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 138182283140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163413827136).

138182283140 is an abundant number, since it is smaller than the sum of its proper divisors (188645371132).

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

138182283140 is a wasteful number, since it uses less digits than its factorization.

138182283140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8490 (or 8477 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The spelling of 138182283140 in words is "one hundred thirty-eight billion, one hundred eighty-two million, two hundred eighty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 97 110 121 142 194 220 242 284 355 388 484 485 605 710 781 970 1067 1210 1420 1562 1940 2134 2420 3124 3905 4268 5335 6887 7810 8291 8591 10670 11737 13774 15620 16582 17182 21340 23474 27548 33164 34364 34435 41455 42955 46948 58685 68870 75757 82910 85910 91201 117370 137740 151514 165820 171820 182402 234740 303028 364804 378785 456005 588661 757570 804227 833327 912010 1003211 1177322 1515140 1608454 1666654 1824020 2006422 2354644 2943305 3216908 3333308 4012844 4021135 4166635 5016055 5886610 6475271 8042270 8333270 8846497 10032110 11773220 12950542 16084540 16666540 17692994 20064220 25901084 32376355 35385988 44232485 57100117 64752710 71227981 88464970 97311467 114200234 129505420 142455962 176929940 194622934 228400468 284911924 285500585 356139905 389245868 486557335 571001170 628101287 712279810 973114670 1142002340 1256202574 1424559620 1946229340 2512405148 3140506435 6281012870 6909114157 12562025740 13818228314 27636456628 34545570785 69091141570 138182283140