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2141042032 = 242331593181
BaseRepresentation
bin111111110011101…
…1011010101110000
312112012202012112001
41333213123111300
513341101321112
6552241543344
7104025362023
oct17747332560
95465665461
102141042032
119a9620628
124b9044b54
1328175aa9c
141644d11ba
15c7e72c57
hex7f9db570

2141042032 has 80 divisors (see below), whose sum is σ = 4545423360. Its totient is φ = 973843200.

The previous prime is 2141042027. The next prime is 2141042047. The reversal of 2141042032 is 2302401412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 671482 + ... + 674662.

It is an arithmetic number, because the mean of its divisors is an integer number (56817792).

Almost surely, 22141042032 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 2141042032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272711680).

2141042032 is an abundant number, since it is smaller than the sum of its proper divisors (2404381328).

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

2141042032 is a wasteful number, since it uses less digits than its factorization.

2141042032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3302 (or 3296 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2141042032 is about 46271.3953971565. The cubic root of 2141042032 is about 1288.8678711639.

Adding to 2141042032 its reverse (2302401412), we get a palindrome (4443443444).

The spelling of 2141042032 in words is "two billion, one hundred forty-one million, forty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 23 31 46 59 62 92 118 124 184 236 248 368 472 496 713 944 1357 1426 1829 2714 2852 3181 3658 5428 5704 6362 7316 10856 11408 12724 14632 21712 25448 29264 42067 50896 73163 84134 98611 146326 168268 187679 197222 292652 336536 375358 394444 585304 673072 750716 788888 1170608 1501432 1577776 2268053 3002864 4316617 4536106 5818049 8633234 9072212 11636098 17266468 18144424 23272196 34532936 36288848 46544392 69065872 93088784 133815127 267630254 535260508 1070521016 2141042032