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140278432240 = 24589151130477
BaseRepresentation
bin1000001010100100111…
…1110000000111110000
3111102002020121200222101
42002221033300013300
54244242234312430
6144235405350144
713064142000052
oct2025117600760
9442066550871
10140278432240
1154545577431
122322ab68354
13102c747abbb
146b0a5c98d2
1539b03bedca
hex20a93f01f0

140278432240 has 80 divisors (see below), whose sum is σ = 331998661440. Its totient is φ = 55113062400.

The previous prime is 140278432213. The next prime is 140278432247. The reversal of 140278432240 is 42234872041.

140278432240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 140278432240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140278432247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1009882 + ... + 1140358.

It is an arithmetic number, because the mean of its divisors is an integer number (4149983268).

Almost surely, 2140278432240 is an apocalyptic number.

140278432240 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 140278432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165999330720).

140278432240 is an abundant number, since it is smaller than the sum of its proper divisors (191720229200).

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

140278432240 is a wasteful number, since it uses less digits than its factorization.

140278432240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130730 (or 130724 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 37.

The spelling of 140278432240 in words is "one hundred forty billion, two hundred seventy-eight million, four hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 151 178 302 356 445 604 712 755 890 1208 1424 1510 1780 2416 3020 3560 6040 7120 12080 13439 26878 53756 67195 107512 130477 134390 215024 260954 268780 521908 537560 652385 1043816 1075120 1304770 2087632 2609540 5219080 10438160 11612453 19702027 23224906 39404054 46449812 58062265 78808108 92899624 98510135 116124530 157616216 185799248 197020270 232249060 315232432 394040540 464498120 788081080 928996240 1576162160 1753480403 3506960806 7013921612 8767402015 14027843224 17534804030 28055686448 35069608060 70139216120 140278432240