Search a number
-
+
4245231513600 = 212345271117223
BaseRepresentation
bin111101110001101011100…
…001000011000000000000
3120000211200111001100110000
4331301223201003000000
51024023213231413400
613010122112240000
7615464536324140
oct75615341030000
916024614040400
104245231513600
111397435575470
12586907540000
1324a428c97c2c
14109682716920
157566534e600
hex3dc6b843000

4245231513600 has 4680 divisors, whose sum is σ = 21732257403648. Its totient is φ = 794139033600.

The previous prime is 4245231513553. The next prime is 4245231513613. The reversal of 4245231513600 is 63151325424.

4245231513600 is a `hidden beast` number, since 4 + 2 + 4 + 5 + 2 + 31 + 5 + 13 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 184575283189 + ... + 184575283211.

Almost surely, 24245231513600 is an apocalyptic number.

4245231513600 is a gapful number since it is divisible by the number (40) 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 4245231513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10866128701824).

4245231513600 is an abundant number, since it is smaller than the sum of its proper divisors (17487025890048).

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

4245231513600 is a wasteful number, since it uses less digits than its factorization.

4245231513600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 4245231513600 in words is "four trillion, two hundred forty-five billion, two hundred thirty-one million, five hundred thirteen thousand, six hundred".