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20440114440 = 2335313544199
BaseRepresentation
bin10011000010010100…
…110110010100001000
31221202111200101202120
4103002110312110020
5313330132130230
613220130331240
71322345051244
oct230224662410
957674611676
1020440114440
118739a03569
123b65429b20
131c09922b95
14dbc92d424
157e9705310
hex4c2536508

20440114440 has 64 divisors (see below), whose sum is σ = 61516368000. Its totient is φ = 5433272832.

The previous prime is 20440114417. The next prime is 20440114459. The reversal of 20440114440 is 4441104402.

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 20440114440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234540 + ... + 309659.

It is an arithmetic number, because the mean of its divisors is an integer number (961193250).

Almost surely, 220440114440 is an apocalyptic number.

20440114440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20440114440 is an abundant number, since it is smaller than the sum of its proper divisors (41076253560).

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

20440114440 is a wasteful number, since it uses less digits than its factorization.

20440114440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544526 (or 544522 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 20440114440 its reverse (4441104402), we get a palindrome (24881218842).

The spelling of 20440114440 in words is "twenty billion, four hundred forty million, one hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 313 626 939 1252 1565 1878 2504 3130 3756 4695 6260 7512 9390 12520 18780 37560 544199 1088398 1632597 2176796 2720995 3265194 4353592 5441990 6530388 8162985 10883980 13060776 16325970 21767960 32651940 65303880 170334287 340668574 511002861 681337148 851671435 1022005722 1362674296 1703342870 2044011444 2555014305 3406685740 4088022888 5110028610 6813371480 10220057220 20440114440