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23402132004132 = 22327294636916333
BaseRepresentation
bin1010101001000101110111…
…10000111101110100100100
310001212012222211001011221200
411110202323300331310210
511031410031243113012
6121434442510042500
74633514434640340
oct524427360756444
9101765884034850
1023402132004132
1175028744733a2
12275b5a67a9430
131009a7206707b
145ac952534620
152a8b2325d3dc
hex1548bbc3dd24

23402132004132 has 144 divisors (see below), whose sum is σ = 70088468835840. Its totient is φ = 6441816294144.

The previous prime is 23402132004091. The next prime is 23402132004149. The reversal of 23402132004132 is 23140023120432.

23402132004132 is a `hidden beast` number, since 2 + 3 + 40 + 2 + 1 + 3 + 200 + 413 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23402132004096 and 23402132004105.

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 47 ways as a sum of consecutive naturals, for example, 74563 + ... + 6841770.

Almost surely, 223402132004132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23402132004132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35044234417920).

23402132004132 is an abundant number, since it is smaller than the sum of its proper divisors (46686336831708).

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

23402132004132 is a wasteful number, since it uses less digits than its factorization.

23402132004132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6916842 (or 6916837 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 23402132004132 its reverse (23140023120432), we get a palindrome (46542155124564).

The spelling of 23402132004132 in words is "twenty-three trillion, four hundred two billion, one hundred thirty-two million, four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 463 522 609 812 926 1044 1218 1389 1827 1852 2436 2778 3241 3654 4167 5556 6482 7308 8334 9723 12964 13427 16668 19446 26854 29169 38892 40281 53708 58338 80562 93989 116676 120843 161124 187978 241686 281967 375956 483372 563934 845901 1127868 1691802 3383604 6916333 13832666 20748999 27665332 41497998 48414331 62246997 82995996 96828662 124493994 145242993 193657324 200573657 248987988 290485986 401147314 435728979 580971972 601720971 802294628 871457958 1203441942 1404015599 1742915916 1805162913 2406883884 2808031198 3202262179 3610325826 4212046797 5616062396 6404524358 7220651652 8424093594 9606786537 12636140391 12809048716 16848187188 19213573074 22415835253 25272280782 28820359611 38427146148 44831670506 50544561564 57640719222 67247505759 89663341012 92865603191 115281438444 134495011518 185731206382 201742517277 268990023036 278596809573 371462412764 403485034554 557193619146 650059222337 806970069108 835790428719 1114387238292 1300118444674 1671580857438 1950177667011 2600236889348 3343161714876 3900355334022 5850533001033 7800710668044 11701066002066 23402132004132