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2141123544 = 23357236841
BaseRepresentation
bin111111110011110…
…1111001111011000
312112012220100100000
41333213233033120
513341111423134
6552243413000
7104026151460
oct17747571730
95465810300
102141123544
119a967689a
124b9084160
13281788c11
14164512ba0
15c7e8be99
hex7f9ef3d8

2141123544 has 192 divisors, whose sum is σ = 7172605440. Its totient is φ = 585066240.

The previous prime is 2141123519. The next prime is 2141123581. The reversal of 2141123544 is 4453211412.

2141123544 is a `hidden beast` number, since 2 + 1 + 4 + 112 + 3 + 544 = 666.

It is a super-2 number, since 2×21411235442 = 9168820061342239872, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309564 + ... + 316404.

It is an arithmetic number, because the mean of its divisors is an integer number (37357320).

Almost surely, 22141123544 is an apocalyptic number.

2141123544 is a gapful number since it is divisible by the number (24) 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 2141123544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3586302720).

2141123544 is an abundant number, since it is smaller than the sum of its proper divisors (5031481896).

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

2141123544 is a wasteful number, since it uses less digits than its factorization.

2141123544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6892 (or 6876 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 2141123544 is about 46272.2761921218. The cubic root of 2141123544 is about 1288.8842271972.

Adding to 2141123544 its reverse (4453211412), we get a palindrome (6594334956).

The spelling of 2141123544 in words is "two billion, one hundred forty-one million, one hundred twenty-three thousand, five hundred forty-four".