Search a number
-
+
21014902440 = 233557244123
BaseRepresentation
bin10011100100100101…
…011111011010101000
32000020120020122200000
4103210211133122220
5321014303334230
613353142143000
71342524503100
oct234445373250
960216218600
1021014902440
118a04401274
1240a5a21a60
131c9ba31c1c
141034dd2200
1582ede2b60
hex4e495f6a8

21014902440 has 288 divisors, whose sum is σ = 82393627680. Its totient is φ = 4803297408.

The previous prime is 21014902409. The next prime is 21014902459. The reversal of 21014902440 is 4420941012.

It is a happy number.

21014902440 is a `hidden beast` number, since 210 + 1 + 4 + 9 + 0 + 2 + 440 = 666.

It is a super-2 number, since 2×210149024402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 454219 + ... + 498341.

It is an arithmetic number, because the mean of its divisors is an integer number (286088985).

Almost surely, 221014902440 is an apocalyptic number.

21014902440 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 21014902440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41196813840).

21014902440 is an abundant number, since it is smaller than the sum of its proper divisors (61378725240).

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

21014902440 is a wasteful number, since it uses less digits than its factorization.

21014902440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44163 (or 44140 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 21014902440 in words is "twenty-one billion, fourteen million, nine hundred two thousand, four hundred forty".