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40221543100 = 22521014019931
BaseRepresentation
bin100101011101011001…
…000000101010111100
310211211002221002111111
4211131121000222330
51124333203334400
630251051131404
72622504322024
oct453531005274
9124732832444
1040221543100
1116070015712
127966143b64
133a3cc4045b
141d37b9aa84
1510a61993ba
hex95d640abc

40221543100 has 72 divisors (see below), whose sum is σ = 88373624976. Its totient is φ = 15888000000.

The previous prime is 40221543083. The next prime is 40221543101. The reversal of 40221543100 is 134512204.

It is a super-2 number, since 2×402215431002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40221543101) 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, 4045135 + ... + 4055065.

It is an arithmetic number, because the mean of its divisors is an integer number (1227411458).

Almost surely, 240221543100 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 40221543100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44186812488).

40221543100 is an abundant number, since it is smaller than the sum of its proper divisors (48152081876).

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

40221543100 is a wasteful number, since it uses less digits than its factorization.

40221543100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10447 (or 10440 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The spelling of 40221543100 in words is "forty billion, two hundred twenty-one million, five hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 401 404 505 802 1010 1604 2005 2020 2525 4010 5050 8020 9931 10025 10100 19862 20050 39724 40100 40501 49655 81002 99310 162004 198620 202505 248275 405010 496550 810020 993100 1003031 1012525 2006062 2025050 3982331 4012124 4050100 5015155 7964662 10030310 15929324 19911655 20060620 25075775 39823310 50151550 79646620 99558275 100303100 199116550 398233100 402215431 804430862 1608861724 2011077155 4022154310 8044308620 10055385775 20110771550 40221543100