Search a number
-
+
40642443264 = 211341161341
BaseRepresentation
bin100101110110011110…
…100111100000000000
310212220102221000222110
4211312132213200000
51131213431141024
630400524335320
72636105032143
oct456636474000
9125812830873
1040642443264
1116266666195
127a630a4540
133aa91bbac7
141d77a4205a
1510cd0da629
hex9767a7800

40642443264 has 96 divisors (see below), whose sum is σ = 110996842320. Its totient is φ = 13216972800.

The previous prime is 40642443197. The next prime is 40642443299. The reversal of 40642443264 is 46234424604.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171234 + ... + 332574.

Almost surely, 240642443264 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 40642443264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55498421160).

40642443264 is an abundant number, since it is smaller than the sum of its proper divisors (70354399056).

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

40642443264 is a wasteful number, since it uses less digits than its factorization.

40642443264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161407 (or 161387 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 39.

Adding to 40642443264 its reverse (46234424604), we get a palindrome (86876867868).

The spelling of 40642443264 in words is "forty billion, six hundred forty-two million, four hundred forty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 512 656 768 984 1024 1312 1536 1968 2048 2624 3072 3936 5248 6144 7872 10496 15744 20992 31488 41984 62976 83968 125952 161341 251904 322682 484023 645364 968046 1290728 1936092 2581456 3872184 5162912 6614981 7744368 10325824 13229962 15488736 19844943 20651648 26459924 30977472 39689886 41303296 52919848 61954944 79379772 82606592 105839696 123909888 158759544 165213184 211679392 247819776 317519088 330426368 423358784 495639552 635038176 846717568 991279104 1270076352 1693435136 2540152704 3386870272 5080305408 6773740544 10160610816 13547481088 20321221632 40642443264