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40240244200 = 23521316079631
BaseRepresentation
bin100101011110100000…
…010110010111101000
310211212102010012120211
4211132200112113220
51124403000303300
630253000030504
72623122301132
oct453640262750
9124772105524
1040240244200
111607a629072
127970462434
133a43a8a5b0
141d3a468052
1510a7b404ba
hex95e8165e8

40240244200 has 96 divisors (see below), whose sum is σ = 100828546560. Its totient is φ = 14847148800.

The previous prime is 40240244189. The next prime is 40240244207. The reversal of 40240244200 is 244204204.

It is not an unprimeable number, because it can be changed into a prime (40240244207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4173385 + ... + 4183015.

It is an arithmetic number, because the mean of its divisors is an integer number (1050297360).

Almost surely, 240240244200 is an apocalyptic number.

40240244200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40240244200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50414273280).

40240244200 is an abundant number, since it is smaller than the sum of its proper divisors (60588302360).

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

40240244200 is a wasteful number, since it uses less digits than its factorization.

40240244200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11267 (or 11258 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 40240244200 its reverse (244204204), we get a palindrome (40484448404).

The spelling of 40240244200 in words is "forty billion, two hundred forty million, two hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 1607 2600 3214 6428 8035 9631 12856 16070 19262 20891 32140 38524 40175 41782 48155 64280 77048 80350 83564 96310 104455 125203 160700 167128 192620 208910 240775 250406 321400 385240 417820 481550 500812 522275 626015 835640 963100 1001624 1044550 1252030 1926200 2089100 2504060 3130075 4178200 5008120 6260150 12520300 15477017 25040600 30954034 61908068 77385085 123816136 154770170 201201221 309540340 386925425 402402442 619080680 773850850 804804884 1006006105 1547701700 1609609768 2012012210 3095403400 4024024420 5030030525 8048048840 10060061050 20120122100 40240244200