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140140400112 = 24322909334547
BaseRepresentation
bin1000001010000100000…
…1001100110111110000
3111101201121212221111100
42002201001030313300
54244001420300422
6144213555044400
713060544514036
oct2024101146760
9441647787440
10140140400112
1154484669899
12231b08a0700
13102a49ac49b
146ad6138556
1539a32067ac
hex20a104cdf0

140140400112 has 60 divisors (see below), whose sum is σ = 392334476040. Its totient is φ = 46697268864.

The previous prime is 140140400111. The next prime is 140140400119. The reversal of 140140400112 is 211004041041.

140140400112 is a `hidden beast` number, since 14 + 0 + 140 + 400 + 112 = 666.

It is a super-2 number, since 2×1401404001122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140140400111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 251623 + ... + 586169.

It is an arithmetic number, because the mean of its divisors is an integer number (6538907934).

Almost surely, 2140140400112 is an apocalyptic number.

140140400112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

140140400112 is an abundant number, since it is smaller than the sum of its proper divisors (252194075928).

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

140140400112 is a wasteful number, since it uses less digits than its factorization.

140140400112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337470 (or 337461 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 140140400112 its reverse (211004041041), we get a palindrome (351144441153).

The spelling of 140140400112 in words is "one hundred forty billion, one hundred forty million, four hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2909 5818 8727 11636 17454 23272 26181 34908 46544 52362 69816 104724 139632 209448 334547 418896 669094 1003641 1338188 2007282 2676376 3010923 4014564 5352752 6021846 8029128 12043692 16058256 24087384 48174768 973197223 1946394446 2919591669 3892788892 5839183338 7785577784 8758775007 11678366676 15571155568 17517550014 23356733352 35035100028 46713466704 70070200056 140140400112