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140214120023412 = 2232195331712201143
BaseRepresentation
bin11111111000011000100100…
…110100010000010101110100
3200101110100011002211201211200
4133320120210310100111310
5121334232004211222122
61214113251050132500
741351064414331101
oct3770304464202564
9611410132751750
10140214120023412
1140749524418a86
1213886529121130
13603119a1731c6
14268a5847a9aa8
1511324573a15ac
hex7f8624d10574

140214120023412 has 144 divisors (see below), whose sum is σ = 381322841477760. Its totient is φ = 43305659714304.

The previous prime is 140214120023401. The next prime is 140214120023473. The reversal of 140214120023412 is 214320021412041.

140214120023412 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 1 + 41 + 200 + 2 + 3 + 412 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5391313 + ... + 17592455.

It is an arithmetic number, because the mean of its divisors is an integer number (2648075288040).

Almost surely, 2140214120023412 is an apocalyptic number.

140214120023412 is a gapful number since it is divisible by the number (12) 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 140214120023412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190661420738880).

140214120023412 is an abundant number, since it is smaller than the sum of its proper divisors (241108721454348).

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

140214120023412 is a wasteful number, since it uses less digits than its factorization.

140214120023412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12201542 (or 12201537 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 140214120023412 its reverse (214320021412041), we get a palindrome (354534141435453).

The spelling of 140214120023412 in words is "one hundred forty trillion, two hundred fourteen billion, one hundred twenty million, twenty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 53 57 76 106 114 159 171 212 228 317 318 342 477 634 636 684 951 954 1007 1268 1902 1908 2014 2853 3021 3804 4028 5706 6023 6042 9063 11412 12046 12084 16801 18069 18126 24092 33602 36138 36252 50403 54207 67204 72276 100806 108414 151209 201612 216828 302418 319219 604836 638438 957657 1276876 1915314 2872971 3830628 5745942 11491884 12201143 24402286 36603429 48804572 73206858 109810287 146413716 219620574 231821717 439241148 463643434 646660579 695465151 927286868 1293321158 1390930302 1939981737 2086395453 2586642316 2781860604 3867762331 3879963474 4172790906 5819945211 7735524662 7759926948 8345581812 11603286993 11639890422 12286551001 15471049324 23206573986 23279780844 24573102002 34809860979 36859653003 46413147972 49146204004 69619721958 73487484289 73719306006 110578959009 139239443916 146974968578 147438612012 204991403543 220462452867 221157918018 293949937156 409982807086 440924905734 442315836036 614974210629 661387358601 819965614172 881849811468 1229948421258 1322774717202 1844922631887 2459896842516 2645549434404 3689845263774 3894836667317 7379690527548 7789673334634 11684510001951 15579346669268 23369020003902 35053530005853 46738040007804 70107060011706 140214120023412