Search a number
-
+
245401200000 = 273255116197
BaseRepresentation
bin1110010010001100001…
…1010010010110000000
3212110102102122121111100
43210203003102112000
513010040201400000
6304422531214400
723505161532405
oct3444303222600
9773372577440
10245401200000
119508a6417a0
123b688447400
131a1ab3a1b68
14bc3db482ac
1565b4211a00
hex39230d2580

245401200000 has 576 divisors, whose sum is σ = 963049454640. Its totient is φ = 59481600000.

The previous prime is 245401199957. The next prime is 245401200017. The reversal of 245401200000 is 2104542.

245401200000 is a `hidden beast` number, since 2 + 4 + 540 + 120 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2454012000002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39596902 + ... + 39603098.

Almost surely, 2245401200000 is an apocalyptic number.

245401200000 is a gapful number since it is divisible by the number (20) 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 245401200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481524727320).

245401200000 is an abundant number, since it is smaller than the sum of its proper divisors (717648254640).

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

245401200000 is an equidigital number, since it uses as much as digits as its factorization.

245401200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6253 (or 6218 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 245401200000 its reverse (2104542), we get a palindrome (245403304542).

The spelling of 245401200000 in words is "two hundred forty-five billion, four hundred one million, two hundred thousand".