Search a number
-
+
20440214100020 = 225111359691175303
BaseRepresentation
bin1001010010111000110111…
…01100110101100000110100
32200101001202122221211011102
410221130123230311200310
510134343024302200040
6111250034342025232
74206520363105001
oct451343354654064
980331678854142
1020440214100020
116570711a90a40
12236154a418218
13b53672157720
145094512008a8
15256a6be58515
hex12971bb35834

20440214100020 has 192 divisors, whose sum is σ = 51357957396480. Its totient is φ = 6734962598400.

The previous prime is 20440214100011. The next prime is 20440214100023. The reversal of 20440214100020 is 2000141204402.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20440214099965 and 20440214100001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20440214100023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116511689 + ... + 116686991.

It is an arithmetic number, because the mean of its divisors is an integer number (267489361440).

Almost surely, 220440214100020 is an apocalyptic number.

20440214100020 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 20440214100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25678978698240).

20440214100020 is an abundant number, since it is smaller than the sum of its proper divisors (30917743296460).

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

20440214100020 is a wasteful number, since it uses less digits than its factorization.

20440214100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176086 (or 176084 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 20440214100020 its reverse (2000141204402), we get a palindrome (22440355304422).

The spelling of 20440214100020 in words is "twenty trillion, four hundred forty billion, two hundred fourteen million, one hundred thousand, twenty".