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121414310136 = 23327240984143
BaseRepresentation
bin111000100010011011…
…0110101100011111000
3102121101120110000021100
41301010312311203320
53442124030411021
6131435454011400
711525521415400
oct1610466654370
9377346400240
10121414310136
1147545238279
121b6454a6b60
13b5ac206482
145c3b101800
153259225626
hex1c44db58f8

121414310136 has 144 divisors (see below), whose sum is σ = 383456829600. Its totient is φ = 34604575488.

The previous prime is 121414310021. The next prime is 121414310137. The reversal of 121414310136 is 631013414121.

121414310136 is a `hidden beast` number, since 1 + 214 + 1 + 4 + 310 + 136 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121414310137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1400881 + ... + 1485023.

It is an arithmetic number, because the mean of its divisors is an integer number (2662894650).

Almost surely, 2121414310136 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 121414310136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191728414800).

121414310136 is an abundant number, since it is smaller than the sum of its proper divisors (262042519464).

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

121414310136 is a wasteful number, since it uses less digits than its factorization.

121414310136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84578 (or 84564 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 121414310136 its reverse (631013414121), we get a palindrome (752427724257).

The spelling of 121414310136 in words is "one hundred twenty-one billion, four hundred fourteen million, three hundred ten thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 409 441 504 588 818 882 1176 1227 1636 1764 2454 2863 3272 3528 3681 4908 5726 7362 8589 9816 11452 14724 17178 20041 22904 25767 29448 34356 40082 51534 60123 68712 80164 84143 103068 120246 160328 168286 180369 206136 240492 252429 336572 360738 480984 504858 589001 673144 721476 757287 1009716 1178002 1442952 1514574 1767003 2019432 2356004 3029148 3534006 4123007 4712008 5301009 6058296 7068012 8246014 10602018 12369021 14136024 16492028 21204036 24738042 32984056 34414487 37107063 42408072 49476084 68828974 74214126 98952168 103243461 137657948 148428252 206486922 240901409 275315896 296856504 309730383 412973844 481802818 619460766 722704227 825947688 963605636 1238921532 1445408454 1686309863 1927211272 2168112681 2477843064 2890816908 3372619726 4336225362 5058929589 5781633816 6745239452 8672450724 10117859178 13490478904 15176788767 17344901448 20235718356 30353577534 40471436712 60707155068 121414310136