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141442554240 = 273351319311069
BaseRepresentation
bin1000001110111010100…
…0100001100110000000
3111112002101010020011000
42003232220201212000
54304133243213430
6144551112452000
713135035605541
oct2035650414600
9445071106130
10141442554240
1154a926a8529
12234b49aa000
13104516bcaa0
146bbb05a4c8
153a2c6bee60
hex20eea21980

141442554240 has 1024 divisors, whose sum is σ = 586736640000. Its totient is φ = 31890309120.

The previous prime is 141442554179. The next prime is 141442554247. The reversal of 141442554240 is 42455244141.

141442554240 is a `hidden beast` number, since 1 + 41 + 4 + 42 + 554 + 24 + 0 = 666.

It is a super-2 number, since 2×1414425542402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 141442554195 and 141442554204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141442554247) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 132312426 + ... + 132313494.

It is an arithmetic number, because the mean of its divisors is an integer number (572985000).

Almost surely, 2141442554240 is an apocalyptic number.

141442554240 is a gapful number since it is divisible by the number (10) 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 141442554240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293368320000).

141442554240 is an abundant number, since it is smaller than the sum of its proper divisors (445294085760).

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

141442554240 is a wasteful number, since it uses less digits than its factorization.

141442554240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Adding to 141442554240 its reverse (42455244141), we get a palindrome (183897798381).

The spelling of 141442554240 in words is "one hundred forty-one billion, four hundred forty-two million, five hundred fifty-four thousand, two hundred forty".