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21314240146312 = 23172311091272581
BaseRepresentation
bin1001101100010100110111…
…01101100110101110001000
32210110121210001011100021021
410312022123231212232020
510243203030434140222
6113155343213322224
74326621511653661
oct466123355465610
983417701140237
1021314240146312
1168783559a0993
122482a13a96374
13bb7c0268c649
14539886b52368
1526e674028ac7
hex13629bb66b88

21314240146312 has 96 divisors (see below), whose sum is σ = 43863110403840. Its totient is φ = 9697742208000.

The previous prime is 21314240146279. The next prime is 21314240146333. The reversal of 21314240146312 is 21364104241312.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78057862 + ... + 78330442.

It is an arithmetic number, because the mean of its divisors is an integer number (456907400040).

Almost surely, 221314240146312 is an apocalyptic number.

It is an amenable number.

21314240146312 is an abundant number, since it is smaller than the sum of its proper divisors (22548870257528).

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

21314240146312 is a wasteful number, since it uses less digits than its factorization.

21314240146312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273743 (or 273722 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

Adding to 21314240146312 its reverse (21364104241312), we get a palindrome (42678344387624).

The spelling of 21314240146312 in words is "twenty-one trillion, three hundred fourteen billion, two hundred forty million, one hundred forty-six thousand, three hundred twelve".

Divisors: 1 2 4 8 17 31 34 62 68 124 136 248 289 527 578 1054 1091 1156 2108 2182 2312 4216 4364 8728 8959 17918 18547 33821 35836 37094 67642 71672 74188 135284 148376 270568 272581 315299 545162 574957 630598 1090324 1149914 1261196 2180648 2299828 2522392 4599656 4633877 8450011 9267754 9774269 16900022 18535508 19548538 33800044 37071016 39097076 67600088 78194152 78775909 143650187 157551818 287300374 297385871 315103636 574600748 594771742 630207272 1149201496 1189543484 2379086968 2442053179 4884106358 5055559807 9218962001 9768212716 10111119614 18437924002 19536425432 20222239228 36875848004 40444478456 73751696008 85944516719 156722354017 171889033438 313444708034 343778066876 626889416068 687556133752 1253778832136 2664280018289 5328560036578 10657120073156 21314240146312