Search a number
-
+
2401110103040 = 210511277153911
BaseRepresentation
bin100010111100001101010…
…100001001010000000000
322111112200111021022001022
4202330031110021100000
5303314433141244130
65035015454325012
7335321514061055
oct42741524112000
98445614238038
102401110103040
1184633a069010
12329426ab9768
13145567b7cacc
148430026102c
15426d20a57e5
hex22f0d509400

2401110103040 has 176 divisors, whose sum is σ = 6306198205824. Its totient is φ = 869973196800.

The previous prime is 2401110103037. The next prime is 2401110103111. The reversal of 2401110103040 is 403010111042.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15523685 + ... + 15677595.

It is an arithmetic number, because the mean of its divisors is an integer number (35830671624).

Almost surely, 22401110103040 is an apocalyptic number.

2401110103040 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 2401110103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3153099102912).

2401110103040 is an abundant number, since it is smaller than the sum of its proper divisors (3905088102784).

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

2401110103040 is a wasteful number, since it uses less digits than its factorization.

2401110103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154224 (or 154206 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 2401110103040 its reverse (403010111042), we get a palindrome (2804120214082).

The spelling of 2401110103040 in words is "two trillion, four hundred one billion, one hundred ten million, one hundred three thousand, forty".