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4040134032 = 2431153592447
BaseRepresentation
bin1111000011001111…
…1000110110010000
3101102120020001222210
43300303320312100
531233233242112
61504522032120
7202055400264
oct36063706620
911376201883
104040134032
111793606550
12949048640
134c503426c
142a48000a4
15189a51b3c
hexf0cf8d90

4040134032 has 160 divisors (see below), whose sum is σ = 11802101760. Its totient is φ = 1180341760.

The previous prime is 4040134013. The next prime is 4040134037. The reversal of 4040134032 is 2304310404.

4040134032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4040134037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1649833 + ... + 1652279.

It is an arithmetic number, because the mean of its divisors is an integer number (73763136).

Almost surely, 24040134032 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 4040134032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5901050880).

4040134032 is an abundant number, since it is smaller than the sum of its proper divisors (7761967728).

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

4040134032 is a wasteful number, since it uses less digits than its factorization.

4040134032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2581 (or 2575 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 4040134032 is about 63562.0486768638. The cubic root of 4040134032 is about 1592.6924611495.

Adding to 4040134032 its reverse (2304310404), we get a palindrome (6344444436).

The spelling of 4040134032 in words is "four billion, forty million, one hundred thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 53 59 66 88 106 118 132 159 176 177 212 236 264 318 354 424 472 528 583 636 649 708 848 944 1166 1272 1298 1416 1749 1947 2332 2447 2544 2596 2832 3127 3498 3894 4664 4894 5192 6254 6996 7341 7788 9328 9381 9788 10384 12508 13992 14682 15576 18762 19576 25016 26917 27984 29364 31152 34397 37524 39152 50032 53834 58728 68794 75048 80751 103191 107668 117456 129691 137588 144373 150096 161502 206382 215336 259382 275176 288746 323004 389073 412764 430672 433119 518764 550352 577492 646008 778146 825528 866238 1037528 1154984 1292016 1426601 1556292 1588103 1651056 1732476 2075056 2309968 2853202 3112584 3176206 3464952 4279803 4764309 5706404 6225168 6352412 6929904 7651769 8559606 9528618 11412808 12704824 15303538 17119212 19057236 22825616 22955307 25409648 30607076 34238424 38114472 45910614 61214152 68476848 76228944 84169459 91821228 122428304 168338918 183642456 252508377 336677836 367284912 505016754 673355672 1010033508 1346711344 2020067016 4040134032