Search a number
-
+
150663421440 = 29365719607
BaseRepresentation
bin1000110001010000111…
…1010101111000000000
3112101212222210211000000
42030110033111320000
54432024313441230
6153114104000000
713612402644360
oct2142417257000
9471788724000
10150663421440
1158994634534
1225248a60000
1311290b5241c
1474139269a0
153dbbe78b60
hex23143d5e00

150663421440 has 1120 divisors, whose sum is σ = 652635371520. Its totient is φ = 32571113472.

The previous prime is 150663421429. The next prime is 150663421471. The reversal of 150663421440 is 44124366051.

150663421440 is a `hidden beast` number, since 1 + 5 + 0 + 6 + 634 + 2 + 14 + 4 + 0 = 666.

150663421440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is a junction number, because it is equal to n+sod(n) for n = 150663421395 and 150663421404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 248209617 + ... + 248210223.

Almost surely, 2150663421440 is an apocalyptic number.

150663421440 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 150663421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326317685760).

150663421440 is an abundant number, since it is smaller than the sum of its proper divisors (501971950080).

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

150663421440 is an frugal number, since it uses more digits than its factorization.

150663421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 150663421440 its reverse (44124366051), we get a palindrome (194787787491).

The spelling of 150663421440 in words is "one hundred fifty billion, six hundred sixty-three million, four hundred twenty-one thousand, four hundred forty".