Search a number
-
+
161470038240 = 253257153110463
BaseRepresentation
bin1001011001100001011…
…1010100000011100000
3120102210010100211100200
42112120113110003200
510121142312210430
6202102303145200
714444243451660
oct2263027240340
9512703324320
10161470038240
116252a6996a5
1227363ba5200
13122c399b434
147b5ac581a0
154300a69460
hex25985d40e0

161470038240 has 288 divisors, whose sum is σ = 630204696576. Its totient is φ = 36879805440.

The previous prime is 161470038229. The next prime is 161470038271. The reversal of 161470038240 is 42830074161.

161470038240 is a `hidden beast` number, since 1 + 614 + 7 + 0 + 0 + 38 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 161470038195 and 161470038204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15427249 + ... + 15437711.

It is an arithmetic number, because the mean of its divisors is an integer number (2188210752).

Almost surely, 2161470038240 is an apocalyptic number.

161470038240 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 161470038240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315102348288).

161470038240 is an abundant number, since it is smaller than the sum of its proper divisors (468734658336).

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

161470038240 is a wasteful number, since it uses less digits than its factorization.

161470038240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12022 (or 12011 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 161470038240 in words is "one hundred sixty-one billion, four hundred seventy million, thirty-eight thousand, two hundred forty".