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140124023234040 = 233510936592927807
BaseRepresentation
bin11111110111000100101010…
…101000010001110111111000
3200101010201121002211121122210
4133313010222220101313320
5121331242444421442130
61214004030531215120
741341424631263556
oct3767045250216770
9611121532747583
10140124023234040
11407142a00a967a
1213870b83a474a0
13602583c292911
142686078ab4bd6
15112ee327a65b0
hex7f712aa11df8

140124023234040 has 128 divisors (see below), whose sum is σ = 424344780288000. Its totient is φ = 37013463986688.

The previous prime is 140124023234011. The next prime is 140124023234087. The reversal of 140124023234040 is 40432320421041.

It is a super-2 number, since 2×1401240232340402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 140124023233989 and 140124023234007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46395817 + ... + 49323623.

It is an arithmetic number, because the mean of its divisors is an integer number (3315193596000).

Almost surely, 2140124023234040 is an apocalyptic number.

140124023234040 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 140124023234040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212172390144000).

140124023234040 is an abundant number, since it is smaller than the sum of its proper divisors (284220757053960).

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

140124023234040 is a wasteful number, since it uses less digits than its factorization.

140124023234040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2931589 (or 2931585 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 140124023234040 its reverse (40432320421041), we get a palindrome (180556343655081).

The spelling of 140124023234040 in words is "one hundred forty trillion, one hundred twenty-four billion, twenty-three million, two hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 109 120 218 327 436 545 654 872 1090 1308 1635 2180 2616 3270 3659 4360 6540 7318 10977 13080 14636 18295 21954 29272 36590 43908 54885 73180 87816 109770 146360 219540 398831 439080 797662 1196493 1595324 1994155 2392986 2927807 3190648 3988310 4785972 5855614 5982465 7976620 8783421 9571944 11711228 11964930 14639035 15953240 17566842 23422456 23929860 29278070 35133684 43917105 47859720 58556140 70267368 87834210 117112280 175668420 319130963 351336840 638261926 957392889 1276523852 1595654815 1914785778 2553047704 3191309630 3829571556 4786964445 6382619260 7659143112 9573928890 10712845813 12765238520 19147857780 21425691626 32138537439 38295715560 42851383252 53564229065 64277074878 85702766504 107128458130 128554149756 160692687195 214256916260 257108299512 321385374390 428513832520 642770748780 1167700193617 1285541497560 2335400387234 3503100580851 4670800774468 5838500968085 7006201161702 9341601548936 11677001936170 14012402323404 17515502904255 23354003872340 28024804646808 35031005808510 46708007744680 70062011617020 140124023234040