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20440433400 = 2335288138669
BaseRepresentation
bin10011000010010110…
…000100001011111000
31221202112021121021220
4103002112010023320
5313330222332100
613220141232040
71322350550202
oct230226041370
957675247256
1020440433400
11873a101172
123b65562620
131c09a0510a
14dbc9b3772
157e9769aa0
hex4c25842f8

20440433400 has 96 divisors (see below), whose sum is σ = 63438908400. Its totient is φ = 5444454400.

The previous prime is 20440433369. The next prime is 20440433413. The reversal of 20440433400 is 433404402.

It is a happy number.

It is a super-2 number, since 2×204404334002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 509266 + ... + 547934.

Almost surely, 220440433400 is an apocalyptic number.

20440433400 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 20440433400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31719454200).

20440433400 is an abundant number, since it is smaller than the sum of its proper divisors (42998475000).

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

20440433400 is a wasteful number, since it uses less digits than its factorization.

20440433400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39569 (or 39560 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 20440433400 its reverse (433404402), we get a palindrome (20873837802).

The spelling of 20440433400 in words is "twenty billion, four hundred forty million, four hundred thirty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 881 1762 2643 3524 4405 5286 7048 8810 10572 13215 17620 21144 22025 26430 35240 38669 44050 52860 66075 77338 88100 105720 116007 132150 154676 176200 193345 232014 264300 309352 386690 464028 528600 580035 773380 928056 966725 1160070 1546760 1933450 2320140 2900175 3866900 4640280 5800350 7733800 11600700 23201400 34067389 68134778 102202167 136269556 170336945 204404334 272539112 340673890 408808668 511010835 681347780 817617336 851684725 1022021670 1362695560 1703369450 2044043340 2555054175 3406738900 4088086680 5110108350 6813477800 10220216700 20440433400