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140827943430 = 23257383258253
BaseRepresentation
bin1000001100100111111…
…1111110001000000110
3111110111112121202121200
42003021333332020012
54301403423142210
6144410115323330
713113563524356
oct2031177761006
9443445552550
10140827943430
11547a7780309
1223362bb0546
1310384279a55
146b5d58cb66
1539e37680c0
hex20c9ffe206

140827943430 has 96 divisors (see below), whose sum is σ = 375641806176. Its totient is φ = 36593275392.

The previous prime is 140827943413. The next prime is 140827943537. The reversal of 140827943430 is 34349728041.

140827943430 is a `hidden beast` number, since 1 + 40 + 82 + 79 + 434 + 30 = 666.

140827943430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 416184 + ... + 674436.

It is an arithmetic number, because the mean of its divisors is an integer number (3912935481).

Almost surely, 2140827943430 is an apocalyptic number.

140827943430 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 140827943430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187820903088).

140827943430 is an abundant number, since it is smaller than the sum of its proper divisors (234813862746).

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

140827943430 is a wasteful number, since it uses less digits than its factorization.

140827943430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258422 (or 258419 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 140827943430 in words is "one hundred forty billion, eight hundred twenty-seven million, nine hundred forty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 83 90 146 166 219 249 365 415 438 498 657 730 747 830 1095 1245 1314 1494 2190 2490 3285 3735 6059 6570 7470 12118 18177 30295 36354 54531 60590 90885 109062 181770 258253 272655 516506 545310 774759 1291265 1549518 2324277 2582530 3873795 4648554 7747590 11621385 18852469 21434999 23242770 37704938 42869998 56557407 64304997 94262345 107174995 113114814 128609994 169672221 188524690 192914991 214349990 282787035 321524985 339344442 385829982 565574070 643049970 848361105 964574955 1564754927 1696722210 1929149910 3129509854 4694264781 7823774635 9388529562 14082794343 15647549270 23471323905 28165588686 46942647810 70413971715 140827943430