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10020440434240 = 265146423213859
BaseRepresentation
bin1001000111010001000011…
…0010101110011001000000
31022110221111201111220021101
42101310100302232121000
52303133330222343430
633151154330304144
72052644566230115
oct221642062563100
938427451456241
1010020440434240
113213710435885
12115a041288054
13578c00b60b22
14268dc5b0290c
151259c46acdca
hex91d10cae640

10020440434240 has 56 divisors (see below), whose sum is σ = 23861448319680. Its totient is φ = 4008130057728.

The previous prime is 10020440434231. The next prime is 10020440434297. The reversal of 10020440434240 is 4243404402001.

It is a junction number, because it is equal to n+sod(n) for n = 10020440434199 and 10020440434208.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 46748431 + ... + 46962289.

Almost surely, 210020440434240 is an apocalyptic number.

10020440434240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020440434240 is an abundant number, since it is smaller than the sum of its proper divisors (13841007885440).

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

10020440434240 is a wasteful number, since it uses less digits than its factorization.

10020440434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360299 (or 360289 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 10020440434240 its reverse (4243404402001), we get a palindrome (14263844836241).

The spelling of 10020440434240 in words is "ten trillion, twenty billion, four hundred forty million, four hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 146423 213859 292846 427718 585692 732115 855436 1069295 1171384 1464230 1710872 2138590 2342768 2928460 3421744 4277180 4685536 5856920 6843488 8554360 9371072 11713840 13686976 17108720 23427680 34217440 46855360 68434880 31313876357 62627752714 125255505428 156569381785 250511010856 313138763570 501022021712 626277527140 1002044043424 1252555054280 2004088086848 2505110108560 5010220217120 10020440434240