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40221021140 = 225171974911223
BaseRepresentation
bin100101011101010111…
…000001001111010100
310211211001221120111122
4211131113001033110
51124333040134030
630251032023112
72622500016206
oct453527011724
9124731846448
1040221021140
111606a799543
127965b31a98
133a3cab99c1
141d37aa2776
1510a60e48e5
hex95d5c13d4

40221021140 has 96 divisors (see below), whose sum is σ = 90143311104. Its totient is φ = 15022192640.

The previous prime is 40221021109. The next prime is 40221021149. The reversal of 40221021140 is 4112012204.

40221021140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40221021149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32886569 + ... + 32887791.

It is an arithmetic number, because the mean of its divisors is an integer number (938992824).

Almost surely, 240221021140 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 40221021140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45071655552).

40221021140 is an abundant number, since it is smaller than the sum of its proper divisors (49922289964).

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

40221021140 is a wasteful number, since it uses less digits than its factorization.

40221021140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 40221021140 its reverse (4112012204), we get a palindrome (44333033344).

The spelling of 40221021140 in words is "forty billion, two hundred twenty-one million, twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 197 340 394 491 788 982 985 1223 1964 1970 2446 2455 3349 3940 4892 4910 6115 6698 8347 9820 12230 13396 16694 16745 20791 24460 33388 33490 41582 41735 66980 83164 83470 96727 103955 166940 193454 207910 240931 386908 415820 481862 483635 600493 963724 967270 1200986 1204655 1644359 1934540 2401972 2409310 3002465 3288718 4095827 4818620 6004930 6577436 8191654 8221795 10208381 12009860 16383308 16443590 20416762 20479135 32887180 40833524 40958270 51041905 81916540 102083810 118297121 204167620 236594242 473188484 591485605 1182971210 2011051057 2365942420 4022102114 8044204228 10055255285 20110510570 40221021140