Search a number
-
+
16442024145150 = 235219313741671831
BaseRepresentation
bin1110111101000011010100…
…0000100011000011111110
32011012211201221011221100210
43233100311000203003332
54123341231140121100
654545210035333250
73314616454164222
oct357206500430376
964184657157323
1016442024145150
11526a028a9503a
121a166a8751226
13923626358316
1440bb26430782
151d7a64d3cc50
hexef4350230fe

16442024145150 has 768 divisors, whose sum is σ = 47335850311680. Its totient is φ = 3756741120000.

The previous prime is 16442024145149. The next prime is 16442024145221. The reversal of 16442024145150 is 5154142024461.

16442024145150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×164420241451503 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16442024145099 and 16442024145108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8979804735 + ... + 8979806565.

It is an arithmetic number, because the mean of its divisors is an integer number (61635221760).

Almost surely, 216442024145150 is an apocalyptic number.

16442024145150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16442024145150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23667925155840).

16442024145150 is an abundant number, since it is smaller than the sum of its proper divisors (30893826166530).

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

16442024145150 is a wasteful number, since it uses less digits than its factorization.

16442024145150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

The spelling of 16442024145150 in words is "sixteen trillion, four hundred forty-two billion, twenty-four million, one hundred forty-five thousand, one hundred fifty".