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2140442112 = 29319711033
BaseRepresentation
bin111111110010100…
…1000111000000000
312112011121201120210
41333211020320000
513340423121422
6552221034120
7104020313004
oct17745107000
95464551523
102140442112
119a9250926
124b89b5940
132815aa9c3
141643b6704
15c7da510c
hex7f948e00

2140442112 has 160 divisors (see below), whose sum is σ = 6092824320. Its totient is φ = 665763840.

The previous prime is 2140442081. The next prime is 2140442141. The reversal of 2140442112 is 2112440412.

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, 2071548 + ... + 2072580.

It is an arithmetic number, because the mean of its divisors is an integer number (38080152).

Almost surely, 22140442112 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 2140442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3046412160).

2140442112 is an abundant number, since it is smaller than the sum of its proper divisors (3952382208).

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

2140442112 is a wasteful number, since it uses less digits than its factorization.

2140442112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2140442112 is about 46264.9123202455. The cubic root of 2140442112 is about 1288.7474796549.

Adding to 2140442112 its reverse (2112440412), we get a palindrome (4252882524).

The spelling of 2140442112 in words is "two billion, one hundred forty million, four hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 71 76 96 114 128 142 152 192 213 228 256 284 304 384 426 456 512 568 608 768 852 912 1033 1136 1216 1349 1536 1704 1824 2066 2272 2432 2698 3099 3408 3648 4047 4132 4544 4864 5396 6198 6816 7296 8094 8264 9088 9728 10792 12396 13632 14592 16188 16528 18176 19627 21584 24792 27264 29184 32376 33056 36352 39254 43168 49584 54528 58881 64752 66112 73343 78508 86336 99168 109056 117762 129504 132224 146686 157016 172672 198336 220029 235524 259008 264448 293372 314032 345344 396672 440058 471048 518016 528896 586744 628064 690688 793344 880116 942096 1036032 1173488 1256128 1393517 1586688 1760232 1884192 2072064 2346976 2512256 2787034 3520464 3768384 4180551 4693952 5024512 5574068 7040928 7536768 8361102 9387904 10049024 11148136 14081856 15073536 16722204 18775808 22296272 28163712 30147072 33444408 37551616 44592544 56327424 66888816 89185088 112654848 133777632 178370176 267555264 356740352 535110528 713480704 1070221056 2140442112