Search a number
-
+
23414644890 = 2345713794021
BaseRepresentation
bin10101110011100111…
…110010000010011010
32020102210210012110000
4111303213302002122
5340423122114030
614431225033430
71456144124550
oct256347620232
966383705400
1023414644890
119a25a5829a
124655625876
132291c5a580
1411c19c5bd0
15920917860
hex5739f209a

23414644890 has 320 divisors, whose sum is σ = 78488847360. Its totient is φ = 4876485120.

The previous prime is 23414644879. The next prime is 23414644933. The reversal of 23414644890 is 9844641432.

23414644890 is a `hidden beast` number, since 23 + 4 + 146 + 4 + 489 + 0 = 666.

23414644890 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×234146448902 (a number of 22 digits) contains 22 as substring.

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, 5821080 + ... + 5825100.

It is an arithmetic number, because the mean of its divisors is an integer number (245277648).

Almost surely, 223414644890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23414644890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39244423680).

23414644890 is an abundant number, since it is smaller than the sum of its proper divisors (55074202470).

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

23414644890 is a wasteful number, since it uses less digits than its factorization.

23414644890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4139 (or 4130 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 23414644890 in words is "twenty-three billion, four hundred fourteen million, six hundred forty-four thousand, eight hundred ninety".