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140303311344 = 24327413394873
BaseRepresentation
bin1000001010101010111…
…0101010000111110000
3111102010222102200200200
42002222232222013300
54244320121430334
6144242054515200
713064563316640
oct2025256520760
9442128380620
10140303311344
115455861a479
1223237365b00
13102cc67c071
146b0da24520
1539b2686799
hex20aabaa1f0

140303311344 has 120 divisors (see below), whose sum is σ = 459693098592. Its totient is φ = 39108925440.

The previous prime is 140303311327. The next prime is 140303311349. The reversal of 140303311344 is 443113303041.

140303311344 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 0 + 3 + 311 + 344 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140303311349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1656109 + ... + 1738764.

Almost surely, 2140303311344 is an apocalyptic number.

140303311344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

140303311344 is an abundant number, since it is smaller than the sum of its proper divisors (319389787248).

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

140303311344 is a wasteful number, since it uses less digits than its factorization.

140303311344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3394935 (or 3394926 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 140303311344 its reverse (443113303041), we get a palindrome (583416614385).

The spelling of 140303311344 in words is "one hundred forty billion, three hundred three million, three hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 41 42 48 56 63 72 82 84 112 123 126 144 164 168 246 252 287 328 336 369 492 504 574 656 738 861 984 1008 1148 1476 1722 1968 2296 2583 2952 3444 4592 5166 5904 6888 10332 13776 20664 41328 3394873 6789746 10184619 13579492 20369238 23764111 27158984 30553857 40738476 47528222 54317968 61107714 71292333 81476952 95056444 122215428 139189793 142584666 162953904 190112888 213876999 244430856 278379586 285169332 380225776 417569379 427753998 488861712 556759172 570338664 835138758 855507996 974328551 1113518344 1140677328 1252708137 1670277516 1711015992 1948657102 2227036688 2505416274 2922985653 3340555032 3422031984 3897314204 5010832548 5845971306 6681110064 7794628408 8768956959 10021665096 11691942612 15589256816 17537913918 20043330192 23383885224 35075827836 46767770448 70151655672 140303311344