Search a number
-
+
22141423100034 = 23273493719135389
BaseRepresentation
bin1010000100011001100111…
…01010001010000010000010
32220101200212211211012121200
411002030303222022002002
510400231113303200114
6115031343535002030
74443444051031650
oct502146352120202
986350784735550
1022141423100034
117067141129097
1225971a5969316
13c47c091b6004
14567917341dd0
15285e3898e409
hex142333a8a082

22141423100034 has 96 divisors (see below), whose sum is σ = 54998667360000. Its totient is φ = 6306251732352.

The previous prime is 22141423099921. The next prime is 22141423100047. The reversal of 22141423100034 is 43000132414122.

22141423100034 is a `hidden beast` number, since 221 + 4 + 1 + 423 + 10 + 0 + 0 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22141423099980 and 22141423100007.

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, 163471612 + ... + 163607000.

It is an arithmetic number, because the mean of its divisors is an integer number (572902785000).

Almost surely, 222141423100034 is an apocalyptic number.

22141423100034 is an abundant number, since it is smaller than the sum of its proper divisors (32857244259966).

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

22141423100034 is a wasteful number, since it uses less digits than its factorization.

22141423100034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139472 (or 139469 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 22141423100034 its reverse (43000132414122), we get a palindrome (65141555514156).

The spelling of 22141423100034 in words is "twenty-two trillion, one hundred forty-one billion, four hundred twenty-three million, one hundred thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 349 698 1047 2094 2443 3141 3719 4886 6282 7329 7438 11157 14658 21987 22314 26033 33471 43974 52066 66942 78099 135389 156198 234297 270778 406167 468594 812334 947723 1218501 1297931 1895446 2437002 2595862 2843169 3893793 5686338 7787586 8529507 9085517 11681379 17059014 18171034 23362758 27256551 47250761 54513102 81769653 94501522 141752283 163539306 283504566 330755327 425256849 503511691 661510654 850513698 992265981 1007023382 1510535073 1984531962 2976797943 3021070146 3524581837 4531605219 5953595886 7049163674 9063210438 10573745511 21147491022 31721236533 63442473066 175725580159 351451160318 527176740477 1054353480954 1230079061113 1581530221431 2460158122226 3163060442862 3690237183339 7380474366678 11070711550017 22141423100034