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4043133144 = 23371791291
BaseRepresentation
bin1111000011111101…
…0101000011011000
3101102202212110000000
43300333111003120
531240020230034
61505110213000
7202123031121
oct36077250330
911382773000
104043133144
111795274856
1294a054160
134c584439b
142a4d81048
15189e45599
hexf0fd50d8

4043133144 has 128 divisors (see below), whose sum is σ = 11441952000. Its totient is φ = 1339143840.

The previous prime is 4043133109. The next prime is 4043133151. The reversal of 4043133144 is 4413313404.

It is a super-2 number, since 2×40431331442 = 32693851240222649472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3131139 + ... + 3132429.

It is an arithmetic number, because the mean of its divisors is an integer number (89390250).

Almost surely, 24043133144 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 4043133144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5720976000).

4043133144 is an abundant number, since it is smaller than the sum of its proper divisors (7398818856).

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

4043133144 is a wasteful number, since it uses less digits than its factorization.

4043133144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 4043133144 is about 63585.6363025487. The cubic root of 4043133144 is about 1593.0864647121.

Adding to 4043133144 its reverse (4413313404), we get a palindrome (8456446548).

The spelling of 4043133144 in words is "four billion, forty-three million, one hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 179 216 243 324 358 486 537 648 716 729 972 1074 1291 1432 1458 1611 1944 2148 2187 2582 2916 3222 3873 4296 4374 4833 5164 5832 6444 7746 8748 9666 10328 11619 12888 14499 15492 17496 19332 23238 28998 30984 34857 38664 43497 46476 57996 69714 86994 92952 104571 115992 130491 139428 173988 209142 231089 260982 278856 313713 347976 391473 418284 462178 521964 627426 693267 782946 836568 924356 941139 1043928 1254852 1386534 1565892 1848712 1882278 2079801 2509704 2773068 2823417 3131784 3764556 4159602 5546136 5646834 6239403 7529112 8319204 11293668 12478806 16638408 18718209 22587336 24957612 37436418 49915224 56154627 74872836 112309254 149745672 168463881 224618508 336927762 449237016 505391643 673855524 1010783286 1347711048 2021566572 4043133144