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14438025252 = 2233759931883
BaseRepresentation
bin11010111001001001…
…01100100000100100
31101021012200200021000
431130210230200210
5214032113302002
610344400553300
71020534122040
oct153444544044
941235620230
1014438025252
116139986082
12296b322830
1314912a5211
149ad739020
1559780861c
hex35c92c824

14438025252 has 96 divisors (see below), whose sum is σ = 42852096000. Its totient is φ = 4118134176.

The previous prime is 14438025209. The next prime is 14438025271. The reversal of 14438025252 is 25252083441.

14438025252 is a `hidden beast` number, since 1 + 4 + 4 + 380 + 25 + 252 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 436903 + ... + 468785.

It is an arithmetic number, because the mean of its divisors is an integer number (446376000).

Almost surely, 214438025252 is an apocalyptic number.

14438025252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14438025252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21426048000).

14438025252 is an abundant number, since it is smaller than the sum of its proper divisors (28414070748).

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

14438025252 is a wasteful number, since it uses less digits than its factorization.

14438025252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32502 (or 32494 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 14438025252 in words is "fourteen billion, four hundred thirty-eight million, twenty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 599 756 1198 1797 2396 3594 4193 5391 7188 8386 10782 12579 16173 16772 21564 25158 31883 32346 37737 50316 63766 64692 75474 95649 113211 127532 150948 191298 223181 226422 286947 382596 446362 452844 573894 669543 860841 892724 1147788 1339086 1721682 2008629 2678172 3443364 4017258 6025887 8034516 12051774 19097917 24103548 38195834 57293751 76391668 114587502 133685419 171881253 229175004 267370838 343762506 401056257 515643759 534741676 687525012 802112514 1031287518 1203168771 1604225028 2062575036 2406337542 3609506313 4812675084 7219012626 14438025252