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140432042430 = 232561173147859
BaseRepresentation
bin1000001011001001100…
…1101110100110111110
3111102110221122220112200
42002302121232212332
54300101100324210
6144302534012330
713101015444141
oct2026231564676
9442427586480
10140432042430
1154614254aa9
12232724a70a6
13103202420c4
146b22b74058
1539bdb140c0
hex20b266e9be

140432042430 has 96 divisors (see below), whose sum is σ = 373256601120. Its totient is φ = 36621469440.

The previous prime is 140432042423. The next prime is 140432042449. The reversal of 140432042430 is 34240234041.

It is a happy number.

140432042430 is a `hidden beast` number, since 1 + 404 + 3 + 204 + 24 + 30 = 666.

It is a super-2 number, since 2×1404320424302 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 140432042394 and 140432042403.

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, 875841 + ... + 1023699.

It is an arithmetic number, because the mean of its divisors is an integer number (3888089595).

Almost surely, 2140432042430 is an apocalyptic number.

140432042430 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 140432042430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186628300560).

140432042430 is an abundant number, since it is smaller than the sum of its proper divisors (232824558690).

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

140432042430 is a wasteful number, since it uses less digits than its factorization.

140432042430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148106 (or 148103 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 140432042430 its reverse (34240234041), we get a palindrome (174672276471).

The spelling of 140432042430 in words is "one hundred forty billion, four hundred thirty-two million, forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 173 183 305 346 366 519 549 610 865 915 1038 1098 1557 1730 1830 2595 2745 3114 5190 5490 7785 10553 15570 21106 31659 52765 63318 94977 105530 147859 158295 189954 295718 316590 443577 474885 739295 887154 949770 1330731 1478590 2217885 2661462 4435770 6653655 9019399 13307310 18038798 25579607 27058197 45096995 51159214 54116394 76738821 81174591 90193990 127898035 135290985 153477642 162349182 230216463 255796070 270581970 383694105 405872955 460432926 767388210 811745910 1151082315 1560356027 2302164630 3120712054 4681068081 7801780135 9362136162 14043204243 15603560270 23405340405 28086408486 46810680810 70216021215 140432042430