Search a number
-
+
121414024634172 = 223314759117699887
BaseRepresentation
bin11011100110110011100111…
…110011110001111100111100
3120220220001211010121001201120
4123212303213303301330330
5111403221410301243142
61110120455524110540
734400605500232404
oct3346634763617474
9526801733531646
10121414024634172
1135760442715756
121174aa27235450
1352993a778923a
1421da682125804
15e083cdb627ec
hex6e6ce7cf1f3c

121414024634172 has 96 divisors (see below), whose sum is σ = 303722206986240. Its totient is φ = 37682795501760.

The previous prime is 121414024634171. The next prime is 121414024634197. The reversal of 121414024634172 is 271436420414121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121414024634171) 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, 57818388 + ... + 59881499.

It is an arithmetic number, because the mean of its divisors is an integer number (3163772989440).

Almost surely, 2121414024634172 is an apocalyptic number.

121414024634172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121414024634172 is an abundant number, since it is smaller than the sum of its proper divisors (182308182352068).

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

121414024634172 is a wasteful number, since it uses less digits than its factorization.

121414024634172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117700031 (or 117700029 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 121414024634172 in words is "one hundred twenty-one trillion, four hundred fourteen billion, twenty-four million, six hundred thirty-four thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 31 47 59 62 93 94 118 124 141 177 186 188 236 282 354 372 564 708 1457 1829 2773 2914 3658 4371 5487 5546 5828 7316 8319 8742 10974 11092 16638 17484 21948 33276 85963 171926 257889 343852 515778 1031556 117699887 235399774 353099661 470799548 706199322 1412398644 3648696497 5531894689 6944293333 7297392994 10946089491 11063789378 13888586666 14594785988 16595684067 20832879999 21892178982 22127578756 27777173332 33191368134 41665759998 43784357964 66382736268 83331519996 171488735359 215273093323 326381786651 342977470718 430546186646 514466206077 645819279969 652763573302 685954941436 861092373292 979145359953 1028932412154 1291638559938 1305527146604 1958290719906 2057864824308 2583277119876 3916581439812 10117835386181 20235670772362 30353506158543 40471341544724 60707012317086 121414024634172