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10414121214 = 2372311142651
BaseRepresentation
bin10011011001011101…
…01110000011111110
3222212210000011122010
421230232232003332
5132312003334324
64441214432050
7516033366300
oct115456560376
928783004563
1010414121214
114464555452
122027802626
13c9c734403
1470b161970
1540e410829
hex26cbae0fe

10414121214 has 48 divisors (see below), whose sum is σ = 25010366976. Its totient is φ = 2879478000.

The previous prime is 10414121203. The next prime is 10414121227. The reversal of 10414121214 is 41212141401.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 23 ways as a sum of consecutive naturals, for example, 562212 + ... + 580439.

It is an arithmetic number, because the mean of its divisors is an integer number (521049312).

Almost surely, 210414121214 is an apocalyptic number.

10414121214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10414121214 is an abundant number, since it is smaller than the sum of its proper divisors (14596245762).

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

10414121214 is a wasteful number, since it uses less digits than its factorization.

10414121214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142701 (or 1142694 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 10414121214 its reverse (41212141401), we get a palindrome (51626262615).

The spelling of 10414121214 in words is "ten billion, four hundred fourteen million, one hundred twenty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 294 434 651 1302 1519 3038 4557 9114 1142651 2285302 3427953 6855906 7998557 15997114 23995671 35422181 47991342 55989899 70844362 106266543 111979798 167969697 212533086 247955267 335939394 495910534 743865801 1487731602 1735686869 3471373738 5207060607 10414121214