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2141233024 = 27723103903
BaseRepresentation
bin111111110100000…
…1001111110000000
312112020002220111211
41333220021332000
513341123424044
6552250015504
7104030115610
oct17750117600
95466086454
102141233024
119a9741077
124b9117594
132817c69b8
14164540a40
15c7eae634
hex7fa09f80

2141233024 has 64 divisors (see below), whose sum is σ = 5087139840. Its totient is φ = 877764096.

The previous prime is 2141233013. The next prime is 2141233033. The reversal of 2141233024 is 4203321412.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×21412330243 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2141232986 and 2141233004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31344 + ... + 72559.

It is an arithmetic number, because the mean of its divisors is an integer number (79486560).

Almost surely, 22141233024 is an apocalyptic number.

It is an amenable number.

2141233024 is an abundant number, since it is smaller than the sum of its proper divisors (2945906816).

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

2141233024 is a wasteful number, since it uses less digits than its factorization.

2141233024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103947 (or 103935 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2141233024 is about 46273.4591747797. The cubic root of 2141233024 is about 1288.9061945798.

Adding to 2141233024 its reverse (4203321412), we get a palindrome (6344554436).

The spelling of 2141233024 in words is "two billion, one hundred forty-one million, two hundred thirty-three thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 322 368 448 644 736 896 1288 1472 2576 2944 5152 10304 20608 103903 207806 415612 727321 831224 1454642 1662448 2389769 2909284 3324896 4779538 5818568 6649792 9559076 11637136 13299584 16728383 19118152 23274272 33456766 38236304 46548544 66913532 76472608 93097088 133827064 152945216 267654128 305890432 535308256 1070616512 2141233024