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140319828390 = 23577318235021
BaseRepresentation
bin1000001010101110110…
…1101010100110100110
3111102012010111211211010
42002223231222212212
54244333334002030
6144243444523050
713065153601410
oct2025355524646
9442163454733
10140319828390
1154566980a25
12232409b0486
1310302c13071
146b11cc39b0
1539b3d4a6b0
hex20abb6a9a6

140319828390 has 128 divisors (see below), whose sum is σ = 390441295872. Its totient is φ = 31610096640.

The previous prime is 140319828353. The next prime is 140319828497. The reversal of 140319828390 is 93828913041.

140319828390 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27944080 + ... + 27949100.

It is an arithmetic number, because the mean of its divisors is an integer number (3050322624).

Almost surely, 2140319828390 is an apocalyptic number.

140319828390 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 140319828390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195220647936).

140319828390 is an abundant number, since it is smaller than the sum of its proper divisors (250121467482).

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

140319828390 is a wasteful number, since it uses less digits than its factorization.

140319828390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6934.

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 140319828390 in words is "one hundred forty billion, three hundred nineteen million, eight hundred twenty-eight thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 73 105 146 210 219 365 438 511 730 1022 1095 1533 1823 2190 2555 3066 3646 5021 5110 5469 7665 9115 10042 10938 12761 15063 15330 18230 25105 25522 27345 30126 35147 38283 50210 54690 63805 70294 75315 76566 105441 127610 133079 150630 175735 191415 210882 266158 351470 366533 382830 399237 527205 665395 733066 798474 931553 1054410 1099599 1330790 1832665 1863106 1996185 2199198 2565731 2794659 3665330 3992370 4657765 5131462 5497995 5589318 7697193 9153283 9315530 10995990 12828655 13973295 15394386 18306566 25657310 27459849 27946590 38485965 45766415 54919698 64072981 76971930 91532830 128145962 137299245 192218943 274598490 320364905 384437886 640729810 668189659 961094715 1336379318 1922189430 2004568977 3340948295 4009137954 4677327613 6681896590 9354655226 10022844885 14031982839 20045689770 23386638065 28063965678 46773276130 70159914195 140319828390