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140043442140 = 223257317350617
BaseRepresentation
bin1000001001101100111…
…1010101011111011100
3111101110212102222011100
42002123033111133130
54243302110122030
6144200212553100
713055256421530
oct2023317253734
9441425388140
10140043442140
1154434965938
1223184322790
131028a8924c4
146ac72d9bc0
153999953360
hex209b3d57dc

140043442140 has 144 divisors (see below), whose sum is σ = 487016816832. Its totient is φ = 31908860928.

The previous prime is 140043442103. The next prime is 140043442193. The reversal of 140043442140 is 41244340041.

140043442140 is a `hidden beast` number, since 1 + 40 + 0 + 43 + 442 + 140 = 666.

It is a super-2 number, since 2×1400434421402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 224112 + ... + 574728.

It is an arithmetic number, because the mean of its divisors is an integer number (3382061228).

Almost surely, 2140043442140 is an apocalyptic number.

140043442140 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 140043442140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243508408416).

140043442140 is an abundant number, since it is smaller than the sum of its proper divisors (346973374692).

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

140043442140 is a wasteful number, since it uses less digits than its factorization.

140043442140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350956 (or 350951 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 140043442140 its reverse (41244340041), we get a palindrome (181287782181).

The spelling of 140043442140 in words is "one hundred forty billion, forty-three million, four hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 317 420 630 634 951 1260 1268 1585 1902 2219 2853 3170 3804 4438 4755 5706 6340 6657 8876 9510 11095 11412 13314 14265 19020 19971 22190 26628 28530 33285 39942 44380 57060 66570 79884 99855 133140 199710 350617 399420 701234 1051851 1402468 1753085 2103702 2454319 3155553 3506170 4207404 4908638 5259255 6311106 7012340 7362957 9817276 10518510 12271595 12622212 14725914 15777765 21037020 22088871 24543190 29451828 31555530 36814785 44177742 49086380 63111060 73629570 88355484 110444355 111145589 147259140 220888710 222291178 333436767 441777420 444582356 555727945 666873534 778019123 1000310301 1111455890 1333747068 1556038246 1667183835 2000620602 2222911780 2334057369 3112076492 3334367670 3890095615 4001241204 4668114738 5001551505 6668735340 7002172107 7780191230 9336229476 10003103010 11670286845 14004344214 15560382460 20006206020 23340573690 28008688428 35010860535 46681147380 70021721070 140043442140