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2141542404 = 2232475992113
BaseRepresentation
bin111111110100101…
…0101100000000100
312112020200121220100
41333221111200010
513341213324104
6552300404100
7104032544601
oct17751254004
95466617810
102141542404
119a9932561
124b9246630
132818a4771
141645c16a8
15c8021139
hex7fa55804

2141542404 has 72 divisors (see below), whose sum is σ = 5540371200. Its totient is φ = 697162752.

The previous prime is 2141542393. The next prime is 2141542409. The reversal of 2141542404 is 4042451412.

2141542404 is a `hidden beast` number, since 2 + 1 + 415 + 4 + 240 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (2141542409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1012452 + ... + 1014564.

It is an arithmetic number, because the mean of its divisors is an integer number (76949600).

Almost surely, 22141542404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141542404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2770185600).

2141542404 is an abundant number, since it is smaller than the sum of its proper divisors (3398828796).

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

2141542404 is a wasteful number, since it uses less digits than its factorization.

2141542404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2141542404 is about 46276.8020070532. The cubic root of 2141542404 is about 1288.9682682527.

Adding to 2141542404 its reverse (4042451412), we get a palindrome (6183993816).

The spelling of 2141542404 in words is "two billion, one hundred forty-one million, five hundred forty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 599 846 1198 1692 1797 2113 2396 3594 4226 5391 6339 7188 8452 10782 12678 19017 21564 25356 28153 38034 56306 76068 84459 99311 112612 168918 198622 253377 297933 337836 397244 506754 595866 893799 1013508 1191732 1265687 1787598 2531374 3575196 3797061 5062748 7594122 11391183 15188244 22782366 45564732 59487289 118974578 178461867 237949156 356923734 535385601 713847468 1070771202 2141542404