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43023440404 = 2272172797953
BaseRepresentation
bin101000000100011001…
…011001101000010100
311010001101012020000201
4220010121121220110
51201103000043104
631433101350244
73052106131600
oct500431315024
9133041166021
1043023440404
111727867961a
128408568384
134098583159
142121d56500
1511bc15b0a4
hexa04659a14

43023440404 has 108 divisors (see below), whose sum is σ = 93252940956. Its totient is φ = 17314031616.

The previous prime is 43023440401. The next prime is 43023440413. The reversal of 43023440404 is 40404432034.

It can be written as a sum of positive squares in 6 ways, for example, as 2550048004 + 40473392400 = 50498^2 + 201180^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43023440401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45144792 + ... + 45145744.

It is an arithmetic number, because the mean of its divisors is an integer number (863453157).

Almost surely, 243023440404 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 43023440404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46626470478).

43023440404 is an abundant number, since it is smaller than the sum of its proper divisors (50229500552).

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

43023440404 is a wasteful number, since it uses less digits than its factorization.

43023440404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 43023440404 its reverse (40404432034), we get a palindrome (83427872438).

The spelling of 43023440404 in words is "forty-three billion, twenty-three million, four hundred forty thousand, four hundred four".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 289 476 578 797 833 953 1156 1594 1666 1906 2023 3188 3332 3812 4046 5579 6671 8092 11158 13342 13549 14161 16201 22316 26684 27098 28322 32402 39053 46697 54196 56644 64804 78106 93394 94843 113407 156212 186788 189686 226814 230333 275417 379372 453628 460666 550834 663901 759541 793849 921332 1101668 1327802 1519082 1587698 1612331 1927919 2655604 3038164 3175396 3224662 3855838 5316787 6449324 7711676 10633574 11286317 12912197 13495433 21267148 22572634 25824394 26990866 37217509 45145268 51648788 53981732 74435018 90385379 148870036 180770758 219507349 361541516 439014698 632697653 878029396 1265395306 1536551443 2530790612 3073102886 6146205772 10755860101 21511720202 43023440404