Search a number
-
+
153081498240 = 27345111971199
BaseRepresentation
bin1000111010010001011…
…1100100101010000000
3112122010111211211210000
42032210113210222000
510002002330420430
6154154043440000
714026334160066
oct2164427445200
9478114754700
10153081498240
1159a15573410
1225802826000
1311587ac9cb8
1475a2b30036
153eae3c0e60
hex23a45e4a80

153081498240 has 1280 divisors, whose sum is σ = 639809280000. Its totient is φ = 34488115200.

The previous prime is 153081498217. The next prime is 153081498281. The reversal of 153081498240 is 42894180351.

153081498240 is a `hidden beast` number, since 1 + 5 + 308 + 14 + 98 + 240 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 769253661 + ... + 769253859.

It is an arithmetic number, because the mean of its divisors is an integer number (499851000).

Almost surely, 2153081498240 is an apocalyptic number.

153081498240 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 153081498240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319904640000).

153081498240 is an abundant number, since it is smaller than the sum of its proper divisors (486727781760).

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

153081498240 is a wasteful number, since it uses less digits than its factorization.

153081498240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 153081498240 in words is "one hundred fifty-three billion, eighty-one million, four hundred ninety-eight thousand, two hundred forty".