Search a number
-
+
153994934105320 = 235711532657355049
BaseRepresentation
bin100011000000111010111101…
…010110000011010011101000
3202012020202211201210101021211
4203000322331112003103220
5130141023111112332240
61303304143542242504
744302524011314330
oct4300727526032350
9665222751711254
10153994934105320
1145081980732210
12153312bba26434
1367c0876c73a19
142a05574a240c0
1512c0b657b8bea
hex8c0ebd5834e8

153994934105320 has 256 divisors, whose sum is σ = 440303356224000. Its totient is φ = 47074933800960.

The previous prime is 153994934105279. The next prime is 153994934105351. The reversal of 153994934105320 is 23501439499351.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 433551156 + ... + 433906204.

It is an arithmetic number, because the mean of its divisors is an integer number (1719934985250).

Almost surely, 2153994934105320 is an apocalyptic number.

153994934105320 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 153994934105320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220151678112000).

153994934105320 is an abundant number, since it is smaller than the sum of its proper divisors (286308422118680).

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

153994934105320 is a wasteful number, since it uses less digits than its factorization.

153994934105320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357788 (or 357784 counting only the distinct ones).

The product of its (nonzero) digits is 15746400, while the sum is 58.

The spelling of 153994934105320 in words is "one hundred fifty-three trillion, nine hundred ninety-four billion, nine hundred thirty-four million, one hundred five thousand, three hundred twenty".