Search a number
-
+
4430031540000 = 253541122732953
BaseRepresentation
bin100000001110111001001…
…1101001100111100100000
3120200111200111220101001020
41000131302131030330200
51040040201033240000
613231043422205440
7635026211534253
oct100356235147440
916614614811036
104430031540000
11145884734a510
125b66a0723880
1326199a1c2a91
141145b3bdb09a
157a37e15cba0
hex4077274cf20

4430031540000 has 480 divisors, whose sum is σ = 15864769698624. Its totient is φ = 1073111040000.

The previous prime is 4430031539981. The next prime is 4430031540017. The reversal of 4430031540000 is 451300344.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1500178524 + ... + 1500181476.

Almost surely, 24430031540000 is an apocalyptic number.

4430031540000 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 4430031540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7932384849312).

4430031540000 is an abundant number, since it is smaller than the sum of its proper divisors (11434738158624).

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

4430031540000 is a wasteful number, since it uses less digits than its factorization.

4430031540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5270 (or 5247 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 4430031540000 its reverse (451300344), we get a palindrome (4430482840344).

The spelling of 4430031540000 in words is "four trillion, four hundred thirty billion, thirty-one million, five hundred forty thousand".