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2140011432 = 23321310122637
BaseRepresentation
bin111111110001101…
…1111101110101000
312112010210211210200
41333203133232220
513340320331212
6552203512200
7104013540246
oct17743375650
95463724720
102140011432
119a8a87299
124b8828660
13281489970
14164303796
15c7d1c6dc
hex7f8dfba8

2140011432 has 96 divisors (see below), whose sum is σ = 6303777480. Its totient is φ = 651916800.

The previous prime is 2140011431. The next prime is 2140011451. The reversal of 2140011432 is 2341100412.

It can be written as a sum of positive squares in 4 ways, for example, as 1789797636 + 350213796 = 42306^2 + 18714^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2140011431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83218 + ... + 105854.

Almost surely, 22140011432 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 2140011432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3151888740).

2140011432 is an abundant number, since it is smaller than the sum of its proper divisors (4163766048).

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

2140011432 is a wasteful number, since it uses less digits than its factorization.

2140011432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22763 (or 22756 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2140011432 is about 46260.2575868315. The cubic root of 2140011432 is about 1288.6610372338.

Adding to 2140011432 its reverse (2341100412), we get a palindrome (4481111844).

The spelling of 2140011432 in words is "two billion, one hundred forty million, eleven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 101 104 117 156 202 234 303 312 404 468 606 808 909 936 1212 1313 1818 2424 2626 3636 3939 5252 7272 7878 10504 11817 15756 22637 23634 31512 45274 47268 67911 90548 94536 135822 181096 203733 271644 294281 407466 543288 588562 814932 882843 1177124 1629864 1765686 2286337 2354248 2648529 3531372 4572674 5297058 6859011 7062744 9145348 10594116 13718022 18290696 20577033 21188232 27436044 29722381 41154066 54872088 59444762 82308132 89167143 118889524 164616264 178334286 237779048 267501429 356668572 535002858 713337144 1070005716 2140011432