Search a number
-
+
140443112531466 = 2321931100943131231
BaseRepresentation
bin11111111011101101110101…
…110101010110011000001010
3200102021020012222122102120200
4133323231311311112120022
5121402004443302001331
61214410401502233030
741403452152460463
oct3773556565263012
9612236188572520
10140443112531466
1140827653752638
1213902996285776
136049961bc6194
1426976a9197d6a
1511383aac8d5e6
hex7fbb75d5660a

140443112531466 has 96 divisors (see below), whose sum is σ = 330647191879680. Its totient is φ = 42919044458400.

The previous prime is 140443112531413. The next prime is 140443112531467. The reversal of 140443112531466 is 664135211344041.

140443112531466 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 4 + 31 + 125 + 31 + 466 = 666.

It is not an unprimeable number, because it can be changed into a prime (140443112531467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1070132071 + ... + 1070263301.

It is an arithmetic number, because the mean of its divisors is an integer number (3444241582080).

Almost surely, 2140443112531466 is an apocalyptic number.

140443112531466 is an abundant number, since it is smaller than the sum of its proper divisors (190204079348214).

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

140443112531466 is a wasteful number, since it uses less digits than its factorization.

140443112531466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232232 (or 232229 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 140443112531466 in words is "one hundred forty trillion, four hundred forty-three billion, one hundred twelve million, five hundred thirty-one thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 19 31 38 57 62 93 114 171 186 279 342 558 589 1178 1767 3534 5301 10602 100943 131231 201886 262462 302829 393693 605658 787386 908487 1181079 1816974 1917917 2362158 2493389 3129233 3835834 4068161 4986778 5753751 6258466 7480167 8136322 9387699 11507502 12204483 14960334 17261253 18775398 22440501 24408966 28163097 34522506 36613449 44881002 56326194 59455427 73226898 77295059 118910854 154590118 178366281 231885177 356732562 463770354 535098843 695655531 1070197686 1391311062 13246850833 26493701666 39740552499 79481104998 119221657497 238443314994 251690165827 410652375823 503380331654 755070497481 821304751646 1231957127469 1510140994962 2265211492443 2463914254938 3695871382407 4530422984886 7391742764814 7802395140637 15604790281274 23407185421911 46814370843822 70221556265733 140443112531466