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20105244045440 = 275135403232007
BaseRepresentation
bin1001001001001000111011…
…11011011111000010000000
32122012001011000200221212122
410210210131323133002000
510113401014433423230
6110432115511143412
74143361455446411
oct444443573370200
978161130627778
1020105244045440
11645164a137094
122308645674b68
13b2abbb38b338
144d7155949808
1524ceb4681be5
hex12491dedf080

20105244045440 has 64 divisors (see below), whose sum is σ = 48064661184960. Its totient is φ = 8042003561472.

The previous prime is 20105244045329. The next prime is 20105244045479. The reversal of 20105244045440 is 4454044250102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 20105244045440.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86541917 + ... + 86773923.

It is an arithmetic number, because the mean of its divisors is an integer number (751010331015).

Almost surely, 220105244045440 is an apocalyptic number.

20105244045440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20105244045440 is an abundant number, since it is smaller than the sum of its proper divisors (27959417139520).

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

20105244045440 is a wasteful number, since it uses less digits than its factorization.

20105244045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367429 (or 367417 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 35.

Adding to 20105244045440 its reverse (4454044250102), we get a palindrome (24559288295542).

The spelling of 20105244045440 in words is "twenty trillion, one hundred five billion, two hundred forty-four million, forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 135403 232007 270806 464014 541612 677015 928028 1083224 1160035 1354030 1856056 2166448 2320070 2708060 3712112 4332896 4640140 5416120 7424224 8665792 9280280 10832240 14848448 17331584 18560560 21664480 29696896 37121120 43328960 74242240 86657920 148484480 31414443821 62828887642 125657775284 157072219105 251315550568 314144438210 502631101136 628288876420 1005262202272 1256577752840 2010524404544 2513155505680 4021048809088 5026311011360 10052622022720 20105244045440