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140550432440 = 235111019413361
BaseRepresentation
bin1000001011100101110…
…1010110011010111000
3111102210012102202002212
42002321131112122320
54300321402314230
6144322403314252
713103653651415
oct2027135263270
9442705382085
10140550432440
1154675067190
12232a607b988
131033b924272
146b3479110c
1539c91ec895
hex20b97566b8

140550432440 has 128 divisors (see below), whose sum is σ = 348877160640. Its totient is φ = 50534400000.

The previous prime is 140550432419. The next prime is 140550432493. The reversal of 140550432440 is 44234055041.

140550432440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 140550432397 and 140550432406.

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 31 ways as a sum of consecutive naturals, for example, 41816360 + ... + 41819720.

Almost surely, 2140550432440 is an apocalyptic number.

140550432440 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 140550432440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174438580320).

140550432440 is an abundant number, since it is smaller than the sum of its proper divisors (208326728200).

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

140550432440 is a wasteful number, since it uses less digits than its factorization.

140550432440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4425 (or 4421 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

Adding to 140550432440 its reverse (44234055041), we get a palindrome (184784487481).

The spelling of 140550432440 in words is "one hundred forty billion, five hundred fifty million, four hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 941 1010 1111 1882 2020 2222 3361 3764 4040 4444 4705 5555 6722 7528 8888 9410 10351 11110 13444 16805 18820 20702 22220 26888 33610 36971 37640 41404 44440 51755 67220 73942 82808 95041 103510 134440 147884 184855 190082 207020 295768 339461 369710 380164 414040 475205 678922 739420 760328 950410 1045451 1357844 1478840 1697305 1900820 2090902 2715688 3162701 3394610 3734071 3801640 4181804 5227255 6325402 6789220 7468142 8363608 10454510 12650804 13578440 14936284 15813505 18670355 20909020 25301608 29872568 31627010 34789711 37340710 41818040 63254020 69579422 74681420 126508040 139158844 149362840 173948555 278317688 319432801 347897110 638865602 695794220 1277731204 1391588440 1597164005 2555462408 3194328010 3513760811 6388656020 7027521622 12777312040 14055043244 17568804055 28110086488 35137608110 70275216220 140550432440