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414234232042124 = 2213311361719326249
BaseRepresentation
bin101111000101111100110110…
…0010000010011001010001100
32000022200101221212002200011202
41132023321230100103022030
5413243303201400321444
64025000325031405032
7153152302266652124
oct13613715420231214
92008611855080152
10414234232042124
1110aa95829a1838a
123a561452223778
1314a1a1748a02a0
1474410882b9c84
1532d52b28d834e
hex178be6c41328c

414234232042124 has 96 divisors (see below), whose sum is σ = 806590128960000. Its totient is φ = 184849083187200.

The previous prime is 414234232042123. The next prime is 414234232042129. The reversal of 414234232042124 is 421240232432414.

It is not an unprimeable number, because it can be changed into a prime (414234232042123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15780939752 + ... + 15780966000.

It is an arithmetic number, because the mean of its divisors is an integer number (8401980510000).

Almost surely, 2414234232042124 is an apocalyptic number.

It is an amenable number.

414234232042124 is a deficient number, since it is larger than the sum of its proper divisors (392355896917876).

414234232042124 is a wasteful number, since it uses less digits than its factorization.

414234232042124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34851 (or 34849 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 38.

Adding to 414234232042124 its reverse (421240232432414), we get a palindrome (835474464474538).

The spelling of 414234232042124 in words is "four hundred fourteen trillion, two hundred thirty-four billion, two hundred thirty-two million, forty-two thousand, one hundred twenty-four".

Divisors: 1 2 4 13 26 31 52 62 124 403 806 1361 1612 2722 5444 7193 14386 17693 26249 28772 35386 42191 52498 70772 84382 93509 104996 168764 187018 222983 341237 374036 445966 548483 682474 813719 891932 1096966 1364948 1627438 2193932 2898779 3254876 5797558 9789673 10578347 11595116 19579346 21156694 35724889 39158692 42313388 71449778 127265749 142899556 188809057 254531498 303479863 377618114 464423557 509062996 606959726 755236228 928847114 1107471559 1213919452 1857694228 2214943118 2454517741 3945238219 4429886236 4909035482 5853080767 7890476438 9818070964 11706161534 14397130267 15780952876 23412323068 28794260534 57588521068 76090049971 152180099942 256969126577 304360199884 513938253154 1027876506308 3340598645501 6681197291002 7966042923887 13362394582004 15932085847774 31864171695548 103558558010531 207117116021062 414234232042124