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2141012432 = 241347389563
BaseRepresentation
bin111111110011101…
…0100000111010000
312112012200200220202
41333213110013100
513341044344212
6552241154332
7104025206516
oct17747240720
95465620822
102141012432
119a9600369
124b902b9a8
1328174a480
141644c44b6
15c7e690c2
hex7f9d41d0

2141012432 has 80 divisors (see below), whose sum is σ = 4582206720. Its totient is φ = 962935296.

The previous prime is 2141012411. The next prime is 2141012449. The reversal of 2141012432 is 2342101412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3802583 + ... + 3803145.

It is an arithmetic number, because the mean of its divisors is an integer number (57277584).

Almost surely, 22141012432 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 2141012432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291103360).

2141012432 is an abundant number, since it is smaller than the sum of its proper divisors (2441194288).

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

2141012432 is a wasteful number, since it uses less digits than its factorization.

2141012432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2141012432 is about 46271.0755440156. The cubic root of 2141012432 is about 1288.8619315849.

Adding to 2141012432 its reverse (2342101412), we get a palindrome (4483113844).

The spelling of 2141012432 in words is "two billion, one hundred forty-one million, twelve thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 47 52 94 104 188 208 376 389 563 611 752 778 1126 1222 1556 2252 2444 3112 4504 4888 5057 6224 7319 9008 9776 10114 14638 18283 20228 26461 29276 36566 40456 52922 58552 73132 80912 105844 117104 146264 211688 219007 237679 292528 343993 423376 438014 475358 687986 876028 950716 1375972 1752056 1901432 2751944 2847091 3504112 3802864 5503888 5694182 10293329 11388364 20586658 22776728 41173316 45553456 82346632 133813277 164693264 267626554 535253108 1070506216 2141012432