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140302231444221 = 37114189166448059
BaseRepresentation
bin11111111001101010101000…
…101010101001101011111101
3200101202202120202000200100120
4133321222220222221223331
5121342202432222203341
61214221542203445153
741360334042132630
oct3771525052515375
9611682522020316
10140302231444221
1140782929a84620
121389b6195267b9
13603959c9300b2
142690942933c17
1511348b2a29066
hex7f9aa8aa9afd

140302231444221 has 64 divisors (see below), whose sum is σ = 241602688051200. Its totient is φ = 70307659699200.

The previous prime is 140302231444127. The next prime is 140302231444237. The reversal of 140302231444221 is 122444132203041.

It is not a de Polignac number, because 140302231444221 - 210 = 140302231443197 is a prime.

It is a super-2 number, since 2×1403022314442212 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140302231440221) 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 63 ways as a sum of consecutive naturals, for example, 82381111 + ... + 84066948.

It is an arithmetic number, because the mean of its divisors is an integer number (3775042000800).

Almost surely, 2140302231444221 is an apocalyptic number.

140302231444221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

140302231444221 is a deficient number, since it is larger than the sum of its proper divisors (101300456606979).

140302231444221 is a wasteful number, since it uses less digits than its factorization.

140302231444221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166448210.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 140302231444221 its reverse (122444132203041), we get a palindrome (262746363647262).

The spelling of 140302231444221 in words is "one hundred forty trillion, three hundred two billion, two hundred thirty-one million, four hundred forty-four thousand, two hundred twenty-one".

Divisors: 1 3 7 11 21 33 41 77 89 123 231 267 287 451 623 861 979 1353 1869 2937 3157 3649 6853 9471 10947 20559 25543 40139 76629 120417 280973 842919 166448059 499344177 1165136413 1830928649 3495409239 5492785947 6824370419 12816500543 14813877251 20473111257 38449501629 44441631753 47770592933 75068074609 103697140757 143311778799 162952649761 225204223827 311091422271 488857949283 525476522263 607368967291 1140668548327 1576429566789 1822106901873 3422005644981 4251582771037 6681058640201 12754748313111 20043175920603 46767410481407 140302231444221