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10034220040 = 23513129114947
BaseRepresentation
bin10010101100001011…
…00000110000001000
3221220022011012012021
421112011200300020
5131022230020130
64335404054224
7503441314555
oct112605406010
927808135167
1010034220040
11428a068039
121b40534374
13c3bb0c210
146b290da2c
153dadbc37a
hex256160c08

10034220040 has 64 divisors (see below), whose sum is σ = 24334148160. Its totient is φ = 3701825280.

The previous prime is 10034219989. The next prime is 10034220041. The reversal of 10034220040 is 4002243001.

It is a super-2 number, since 2×100342200402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10034219996 and 10034220023.

It is not an unprimeable number, because it can be changed into a prime (10034220041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 663847 + ... + 678793.

It is an arithmetic number, because the mean of its divisors is an integer number (380221065).

Almost surely, 210034220040 is an apocalyptic number.

10034220040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10034220040 is an abundant number, since it is smaller than the sum of its proper divisors (14299928120).

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

10034220040 is a wasteful number, since it uses less digits than its factorization.

10034220040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16262 (or 16258 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 10034220040 its reverse (4002243001), we get a palindrome (14036463041).

The spelling of 10034220040 in words is "ten billion, thirty-four million, two hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1291 2582 5164 6455 10328 12910 14947 16783 25820 29894 33566 51640 59788 67132 74735 83915 119576 134264 149470 167830 194311 298940 335660 388622 597880 671320 777244 971555 1554488 1943110 3886220 7772440 19296577 38593154 77186308 96482885 154372616 192965770 250855501 385931540 501711002 771863080 1003422004 1254277505 2006844008 2508555010 5017110020 10034220040