Search a number
-
+
214691864440 = 23559193471353
BaseRepresentation
bin1100011111110010100…
…0011101111101111000
3202112011020121201122211
43013330220131331320
512004142104130230
6242343355424504
721340156511014
oct3077450357570
9675136551584
10214691864440
1183060a62429
1235737a55134
131732607c3a1
14a569415544
1558b81be42a
hex31fca1df78

214691864440 has 64 divisors (see below), whose sum is σ = 493790450400. Its totient is φ = 83983613952.

The previous prime is 214691864369. The next prime is 214691864441. The reversal of 214691864440 is 44468196412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214691864441) 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 15 ways as a sum of consecutive naturals, for example, 219804 + ... + 691156.

Almost surely, 2214691864440 is an apocalyptic number.

214691864440 is a gapful number since it is divisible by the number (20) 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 214691864440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246895225200).

214691864440 is an abundant number, since it is smaller than the sum of its proper divisors (279098585960).

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

214691864440 is a wasteful number, since it uses less digits than its factorization.

214691864440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471616 (or 471612 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 49.

The spelling of 214691864440 in words is "two hundred fourteen billion, six hundred ninety-one million, eight hundred sixty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 59 118 193 236 295 386 472 590 772 965 1180 1544 1930 2360 3860 7720 11387 22774 45548 56935 91096 113870 227740 455480 471353 942706 1885412 2356765 3770824 4713530 9427060 18854120 27809827 55619654 90971129 111239308 139049135 181942258 222478616 278098270 363884516 454855645 556196540 727769032 909711290 1112393080 1819422580 3638845160 5367296611 10734593222 21469186444 26836483055 42938372888 53672966110 107345932220 214691864440