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14414002434 = 23313235915131
BaseRepresentation
bin11010110110010010…
…00011100100000010
31101012112111012011000
431123021003210002
5214004441034214
610342142032430
71020122666466
oct153311034402
941175435130
1014414002434
116127368407
122963278716
131489313a30
149aa4844a6
15595660809
hex35b243902

14414002434 has 128 divisors (see below), whose sum is σ = 36607334400. Its totient is φ = 4170070080.

The previous prime is 14414002429. The next prime is 14414002439. The reversal of 14414002434 is 43420041441.

14414002434 is a `hidden beast` number, since 1 + 4 + 414 + 0 + 0 + 243 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (14414002429) and next prime (14414002439).

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14414002398 and 14414002407.

It is not an unprimeable number, because it can be changed into a prime (14414002439) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 945049 + ... + 960179.

It is an arithmetic number, because the mean of its divisors is an integer number (285994800).

Almost surely, 214414002434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14414002434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18303667200).

14414002434 is an abundant number, since it is smaller than the sum of its proper divisors (22193331966).

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

14414002434 is a wasteful number, since it uses less digits than its factorization.

14414002434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15237 (or 15231 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 14414002434 its reverse (43420041441), we get a palindrome (57834043875).

The spelling of 14414002434 in words is "fourteen billion, four hundred fourteen million, two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 46 54 59 69 78 117 118 138 177 207 234 299 351 354 414 531 598 621 702 767 897 1062 1242 1357 1534 1593 1794 2301 2691 2714 3186 4071 4602 5382 6903 8073 8142 12213 13806 15131 16146 17641 20709 24426 30262 35282 36639 41418 45393 52923 73278 90786 105846 136179 158769 196703 272358 317538 348013 393406 408537 476307 590109 696026 817074 892729 952614 1044039 1180218 1770327 1785458 2088078 2678187 3132117 3540654 4524169 5310981 5356374 6264234 8034561 9048338 9396351 10621962 11605477 13572507 16069122 18792702 20532767 23210954 24103683 27145014 34816431 40717521 41065534 48207366 61598301 69632862 81435042 104449293 122152563 123196602 184794903 208898586 244305126 266925971 313347879 369589806 533851942 554384709 626695758 800777913 1108769418 1601555826 2402333739 4804667478 7207001217 14414002434