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23402122120432 = 2411414712968813
BaseRepresentation
bin1010101001000101110110…
…01011010000110011110000
310001212012222010110001001201
411110202323023100303300
511031410021230323212
6121434441514140544
74633514254634026
oct524427313206360
9101765863401051
1023402122120432
117502869932650
12275b5a3421754
131009a6ccb6423
145ac9510c0716
152a8b22459b57
hex1548bb2d0cf0

23402122120432 has 80 divisors (see below), whose sum is σ = 50671816483680. Its totient is φ = 10377510195200.

The previous prime is 23402122120411. The next prime is 23402122120441.

23402122120432 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×234021221204322 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23402122120432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340048458 + ... + 340117270.

It is an arithmetic number, because the mean of its divisors is an integer number (633397706046).

Almost surely, 223402122120432 is an apocalyptic number.

23402122120432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23402122120432 is an abundant number, since it is smaller than the sum of its proper divisors (27269694363248).

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

23402122120432 is a wasteful number, since it uses less digits than its factorization.

23402122120432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116002 (or 115996 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 2340212 and 2120432, that added together give a palindrome (4460644).

The spelling of 23402122120432 in words is "twenty-three trillion, four hundred two billion, one hundred twenty-two million, one hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 164 176 328 451 656 902 1804 3608 7216 47129 68813 94258 137626 188516 275252 377032 518419 550504 754064 756943 1036838 1101008 1513886 1932289 2073676 2821333 3027772 3864578 4147352 5642666 6055544 7729156 8294704 11285332 12111088 15458312 21255179 22570664 30916624 31034663 42510358 45141328 62069326 85020716 124138652 170041432 248277304 340082864 496554608 3243087877 6486175754 12972351508 25944703016 35673966647 51889406032 71347933294 132966602957 142695866588 265933205914 285391733176 531866411828 570783466352 1063732823656 1462632632527 2127465647312 2925265265054 5850530530108 11701061060216 23402122120432