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20440413240 = 233513103912611
BaseRepresentation
bin10011000010010101…
…111111010000111000
31221202112020120122020
4103002111333100320
5313330221210430
613220140554440
71322350434342
oct230225772070
957675216566
1020440413240
11873a098005
123b65552a20
131c099c8ba0
14dbc9aa292
157e9763b10
hex4c257f438

20440413240 has 128 divisors (see below), whose sum is σ = 66107059200. Its totient is φ = 5026245120.

The previous prime is 20440413113. The next prime is 20440413247. The reversal of 20440413240 is 4231404402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20440413240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20440413247) 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 31 ways as a sum of consecutive naturals, for example, 1614535 + ... + 1627145.

It is an arithmetic number, because the mean of its divisors is an integer number (516461400).

Almost surely, 220440413240 is an apocalyptic number.

20440413240 is a gapful number since it is divisible by the number (20) 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 20440413240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33053529600).

20440413240 is an abundant number, since it is smaller than the sum of its proper divisors (45666645960).

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

20440413240 is a wasteful number, since it uses less digits than its factorization.

20440413240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13677 (or 13673 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 20440413240 its reverse (4231404402), we get a palindrome (24671817642).

The spelling of 20440413240 in words is "twenty billion, four hundred forty million, four hundred thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1039 1560 2078 3117 4156 5195 6234 8312 10390 12468 12611 13507 15585 20780 24936 25222 27014 31170 37833 40521 41560 50444 54028 62340 63055 67535 75666 81042 100888 108056 124680 126110 135070 151332 162084 163943 189165 202605 252220 270140 302664 324168 327886 378330 405210 491829 504440 540280 655772 756660 810420 819715 983658 1311544 1513320 1620840 1639430 1967316 2459145 3278860 3934632 4918290 6557720 9836580 13102829 19673160 26205658 39308487 52411316 65514145 78616974 104822632 131028290 157233948 170336777 196542435 262056580 314467896 340673554 393084870 511010331 524113160 681347108 786169740 851683885 1022020662 1362694216 1572339480 1703367770 2044041324 2555051655 3406735540 4088082648 5110103310 6813471080 10220206620 20440413240