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134312034210444 = 223317276312647559
BaseRepresentation
bin11110100010011111110101…
…000101101001001010001100
3122121120002211121010020201000
4132202133311011221022030
5120101032021224213234
61153354032520020300
740201503262560006
oct3642376505511214
9577502747106630
10134312034210444
1139883460893562
12130926a4601690
1359c37554615ac
142524a46a05376
15107db6e48e899
hex7a27f516928c

134312034210444 has 96 divisors (see below), whose sum is σ = 368713184716800. Its totient is φ = 42135567863040.

The previous prime is 134312034210401. The next prime is 134312034210449. The reversal of 134312034210444 is 444012430213431.

134312034210444 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 1 + 203 + 4 + 2 + 1 + 0 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 134312034210399 and 134312034210408.

It is not an unprimeable number, because it can be changed into a prime (134312034210449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49406737 + ... + 52054295.

It is an arithmetic number, because the mean of its divisors is an integer number (3840762340800).

Almost surely, 2134312034210444 is an apocalyptic number.

It is an amenable number.

134312034210444 is an abundant number, since it is smaller than the sum of its proper divisors (234401150506356).

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

134312034210444 is a wasteful number, since it uses less digits than its factorization.

134312034210444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2675220 (or 2675212 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 134312034210444 its reverse (444012430213431), we get a palindrome (578324464423875).

The spelling of 134312034210444 in words is "one hundred thirty-four trillion, three hundred twelve billion, thirty-four million, two hundred ten thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 27631 55262 82893 110524 165786 248679 331572 469727 497358 746037 939454 994716 1409181 1492074 1878908 2647559 2818362 2984148 4227543 5295118 5636724 7942677 8455086 10590236 12682629 15885354 16910172 23828031 25365258 31770708 45008503 47656062 50730516 71484093 90017006 95312124 135025509 142968186 180034012 270051018 285936372 405076527 540102036 810153054 1215229581 1620306108 2430459162 4860918324 73154702729 146309405458 219464108187 292618810916 438928216374 658392324561 877856432748 1243629946393 1316784649122 1975176973683 2487259892786 2633569298244 3730889839179 3950353947366 4974519785572 7461779678358 7900707894732 11192669517537 14923559356716 22385339035074 33578008552611 44770678070148 67156017105222 134312034210444