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7014149532 = 2233135394261
BaseRepresentation
bin1101000100001001…
…10110110110011100
3200002211100201022000
412202010312312130
5103331110241112
63120001322300
7335550200355
oct64204666634
920084321260
107014149532
112a7a3393a5
121439036390
1387a21b450
144a77a0d2c
152b0bb17dc
hex1a2136d9c

7014149532 has 96 divisors (see below), whose sum is σ = 19953380160. Its totient is φ = 2117456640.

The previous prime is 7014149531. The next prime is 7014149543. The reversal of 7014149532 is 2359414107.

7014149532 is a `hidden beast` number, since 70 + 14 + 1 + 49 + 532 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7014149531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27282 + ... + 121542.

It is an arithmetic number, because the mean of its divisors is an integer number (207847710).

Almost surely, 27014149532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7014149532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9976690080).

7014149532 is an abundant number, since it is smaller than the sum of its proper divisors (12939230628).

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

7014149532 is a wasteful number, since it uses less digits than its factorization.

7014149532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94340 (or 94332 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 7014149532 is about 83750.5195924181. The cubic root of 7014149532 is about 1914.2192239145.

The spelling of 7014149532 in words is "seven billion, fourteen million, one hundred forty-nine thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 53 54 78 106 108 117 156 159 212 234 318 351 468 477 636 689 702 954 1378 1404 1431 1908 2067 2756 2862 4134 5724 6201 8268 12402 18603 24804 37206 74412 94261 188522 282783 377044 565566 848349 1131132 1225393 1696698 2450786 2545047 3393396 3676179 4901572 4995833 5090094 7352358 9991666 10180188 11028537 14704716 14987499 19983332 22057074 29974998 33085611 44114148 44962497 59949996 64945829 66171222 89924994 129891658 132342444 134887491 179849988 194837487 259783316 269774982 389674974 539549964 584512461 779349948 1169024922 1753537383 2338049844 3507074766 7014149532