Search a number
-
+
150146550305640 = 233257210138402477
BaseRepresentation
bin100010001000111010110111…
…110010111001001101101000
3201200121212111020201200021100
4202020322313302321031220
5124140000113334240030
61251200212321441400
743424505325614600
oct4210726762711550
9650555436650240
10150146550305640
1143928881375a39
1214a0b4a7aa0260
1365a19b35132b5
1429111bb985c00
1512559ca23c360
hex888eb7cb9368

150146550305640 has 288 divisors, whose sum is σ = 568206315429480. Its totient is φ = 34285328630784.

The previous prime is 150146550305567. The next prime is 150146550305641. The reversal of 150146550305640 is 46503055641051.

150146550305640 is a `hidden beast` number, since 1 + 5 + 0 + 1 + 4 + 6 + 5 + 50 + 30 + 564 + 0 = 666.

150146550305640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 101871596177316 + 48274954128324 = 10093146^2 + 6948018^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (150146550305641) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13668082 + ... + 22070558.

Almost surely, 2150146550305640 is an apocalyptic number.

150146550305640 is a gapful number since it is divisible by the number (10) 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 150146550305640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284103157714740).

150146550305640 is an abundant number, since it is smaller than the sum of its proper divisors (418059765123840).

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

150146550305640 is a wasteful number, since it uses less digits than its factorization.

150146550305640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8403521 (or 8403507 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 150146550305640 in words is "one hundred fifty trillion, one hundred forty-six billion, five hundred fifty million, three hundred five thousand, six hundred forty".