Search a number
-
+
149244567272640 = 263257426598117
BaseRepresentation
bin100001111011110010110101…
…011010101011110011000000
3201120102122022111112002011100
4201323302311122223303000
5124030210333210211030
61245230001355014400
743302364335420000
oct4173626532536300
9646378274462140
10149244567272640
11436102a14780a4
12148a471b73a400
136537918c708a8
1428bd693080000
15123c2d8aa0360
hex87bcb56abcc0

149244567272640 has 840 divisors, whose sum is σ = 599159039759280. Its totient is φ = 34096013586432.

The previous prime is 149244567272611. The next prime is 149244567272657. The reversal of 149244567272640 is 46272765442941.

149244567272640 is a `hidden beast` number, since 1 + 4 + 9 + 2 + 4 + 4 + 567 + 2 + 7 + 2 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18386661862 + ... + 18386669978.

It is an arithmetic number, because the mean of its divisors is an integer number (713284571142).

Almost surely, 2149244567272640 is an apocalyptic number.

149244567272640 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 149244567272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299579519879640).

149244567272640 is an abundant number, since it is smaller than the sum of its proper divisors (449914472486640).

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

149244567272640 is an equidigital number, since it uses as much as digits as its factorization.

149244567272640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10827 (or 10793 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 149244567272640 in words is "one hundred forty-nine trillion, two hundred forty-four billion, five hundred sixty-seven million, two hundred seventy-two thousand, six hundred forty".