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121437414 = 23373111033
BaseRepresentation
bin1110011110011…
…11110011100110
322110111122211000
413033033303212
5222041444124
620014454130
73003125640
oct717176346
9273448730
10121437414
11626037aa
1234804346
131c20b277
14121b1890
15a9db6c9
hex73cfce6

121437414 has 64 divisors (see below), whose sum is σ = 309703680. Its totient is φ = 34551360.

The previous prime is 121437361. The next prime is 121437439. The reversal of 121437414 is 414734121.

121437414 is a `hidden beast` number, since 1 + 214 + 37 + 414 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117042 + ... + 118074.

It is an arithmetic number, because the mean of its divisors is an integer number (4839120).

Almost surely, 2121437414 is an apocalyptic number.

121437414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121437414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154851840).

121437414 is an abundant number, since it is smaller than the sum of its proper divisors (188266266).

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

121437414 is a wasteful number, since it uses less digits than its factorization.

121437414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1356 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 121437414 is about 11019.8645182234. The cubic root of 121437414 is about 495.2040297571.

The spelling of 121437414 in words is "one hundred twenty-one million, four hundred thirty-seven thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 311 378 622 933 1033 1866 2066 2177 2799 3099 4354 5598 6198 6531 7231 8397 9297 13062 14462 16794 18594 19593 21693 27891 39186 43386 55782 58779 65079 117558 130158 195237 321263 390474 642526 963789 1927578 2248841 2891367 4497682 5782734 6746523 8674101 13493046 17348202 20239569 40479138 60718707 121437414