Search a number
-
+
140722833680 = 245111314478501
BaseRepresentation
bin1000001100001110111…
…1000000100100010000
3111110020012211122010222
42003003233000210100
54301200021134210
6144351442412212
713111146231062
oct2030357004420
9443205748128
10140722833680
1154753409850
1223333961068
1310368567530
146b4d62b732
1539d9404655
hex20c3bc0910

140722833680 has 160 divisors (see below), whose sum is σ = 384690878208. Its totient is φ = 47197440000.

The previous prime is 140722833659. The next prime is 140722833707. The reversal of 140722833680 is 86338227041.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16549430 + ... + 16557930.

Almost surely, 2140722833680 is an apocalyptic number.

140722833680 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 140722833680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192345439104).

140722833680 is an abundant number, since it is smaller than the sum of its proper divisors (243968044528).

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

140722833680 is a wasteful number, since it uses less digits than its factorization.

140722833680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9985 (or 9979 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The spelling of 140722833680 in words is "one hundred forty billion, seven hundred twenty-two million, eight hundred thirty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1430 1447 2288 2860 2894 5720 5788 7235 8501 11440 11576 14470 15917 17002 18811 23152 28940 31834 34004 37622 42505 57880 63668 68008 75244 79585 85010 93511 94055 110513 115760 127336 136016 150488 159170 170020 187022 188110 206921 221026 254672 300976 318340 340040 374044 376220 413842 442052 467555 552565 636680 680080 748088 752440 827684 884104 935110 1034605 1105130 1215643 1273360 1496176 1504880 1655368 1768208 1870220 2069210 2210260 2431286 3310736 3740440 4138420 4420520 4862572 6078215 7480880 8276840 8841040 9725144 12156430 12300947 16553680 19450288 24312860 24601894 48625720 49203788 61504735 97251440 98407576 123009470 135310417 159912311 196815152 246018940 270620834 319824622 492037880 541241668 639649244 676552085 799561555 984075760 1082483336 1279298488 1353104170 1599123110 1759035421 2164966672 2558596976 2706208340 3198246220 3518070842 5412416680 6396492440 7036141684 8795177105 10824833360 12792984880 14072283368 17590354210 28144566736 35180708420 70361416840 140722833680