Search a number
-
+
140051535780 = 223513434175657
BaseRepresentation
bin1000001001101110111…
…0001101011110100100
3111101111102200011112210
42002123232031132210
54243311143121110
6144201102243420
713055415261252
oct2023356153644
9441442604483
10140051535780
11544394937a2
1223186b86570
131028c467440
146ac84055d2
15399a501520
hex209bb8d7a4

140051535780 has 96 divisors (see below), whose sum is σ = 432130495104. Its totient is φ = 33672489984.

The previous prime is 140051535773. The next prime is 140051535781. The reversal of 140051535780 is 87535150041.

140051535780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1400515357802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (140051535781) by changing a digit.

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, 2054289 + ... + 2121368.

It is an arithmetic number, because the mean of its divisors is an integer number (4501359324).

Almost surely, 2140051535780 is an apocalyptic number.

140051535780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140051535780 is an abundant number, since it is smaller than the sum of its proper divisors (292078959324).

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

140051535780 is a wasteful number, since it uses less digits than its factorization.

140051535780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4175725 (or 4175723 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 39.

The spelling of 140051535780 in words is "one hundred forty billion, fifty-one million, five hundred thirty-five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 43 52 60 65 78 86 129 130 156 172 195 215 258 260 390 430 516 559 645 780 860 1118 1290 1677 2236 2580 2795 3354 5590 6708 8385 11180 16770 33540 4175657 8351314 12526971 16702628 20878285 25053942 41756570 50107884 54283541 62634855 83513140 108567082 125269710 162850623 179553251 217134164 250539420 271417705 325701246 359106502 538659753 542835410 651402492 718213004 814253115 897766255 1077319506 1085670820 1628506230 1795532510 2154639012 2334192263 2693298765 3257012460 3591065020 4668384526 5386597530 7002576789 9336769052 10773195060 11670961315 14005153578 23341922630 28010307156 35012883945 46683845260 70025767890 140051535780