Search a number
-
+
40023476140921 = 7213219236592
BaseRepresentation
bin10010001100110101100010…
…00100111111101101111001
312020201012120212102112110021
421012122301010333231321
520221221034343002141
6221042310415250441
711300413022666200
oct1106326104775571
9166635525375407
1040023476140921
1111830951965229
1245a4999219a21
1319442751a6c00
149c520a30c237
15496180c306d1
hex2466b113fb79

40023476140921 has 81 divisors (see below), whose sum is σ = 53222399233551. Its totient is φ = 29992046823648.

The previous prime is 40023476140871. The next prime is 40023476140957. The reversal of 40023476140921 is 12904167432004.

The square root of 40023476140921 is 6326411.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5920632565225 + 34102843575696 = 2433235^2 + 5839764^2 .

It is not a de Polignac number, because 40023476140921 - 213 = 40023476132729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40023476140961) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10938362790 + ... + 10938366448.

Almost surely, 240023476140921 is an apocalyptic number.

40023476140921 is the 6326411-st square number.

40023476140921 is the 3163206-th centered octagonal number.

It is an amenable number.

40023476140921 is a deficient number, since it is larger than the sum of its proper divisors (13198923092630).

40023476140921 is an frugal number, since it uses more digits than its factorization.

40023476140921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7396 (or 3698 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The spelling of 40023476140921 in words is "forty trillion, twenty-three billion, four hundred seventy-six million, one hundred forty thousand, nine hundred twenty-one".

Divisors: 1 7 13 19 49 91 133 169 247 361 637 931 1183 1729 2527 3211 3659 4693 8281 12103 17689 22477 25613 32851 47567 61009 69521 157339 179291 229957 332969 427063 486647 618371 903773 1320899 2330783 2989441 3406529 4328597 6326411 9246293 11749049 13388281 17171687 30300179 44284877 64724051 82243343 93717967 120201809 174047653 223231931 254377339 575703401 656025769 841412663 1218333571 1562623517 1780641373 2262619489 3306905407 4833169441 8528334997 10938364619 12464489611 15838336423 23148337849 33832186087 42989770291 62831202733 110868354961 162038364943 236825302609 300928392037 439818419131 816805635529 2106498744259 3078728933917 5717639448703 40023476140921