Search a number
-
+
10441110220040 = 2351736374221769
BaseRepresentation
bin1001011111110000001010…
…1010100110110100001000
31100222011022220221011220102
42113330002222212310020
52332031343204020130
634112325123544532
72125226305346243
oct227740252466410
940864286834812
1010441110220040
11336606057a185
12120768282b148
135a9791867846
142814d10dc25a
151318e5a27645
hex97f02aa6d08

10441110220040 has 64 divisors (see below), whose sum is σ = 24881254801200. Its totient is φ = 3929689202688.

The previous prime is 10441110220003. The next prime is 10441110220043. The reversal of 10441110220040 is 4002201114401.

It can be written as a sum of positive squares in 8 ways, for example, as 422986339876 + 10018123880164 = 650374^2 + 3165142^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10441110219994 and 10441110220021.

It is not an unprimeable number, because it can be changed into a prime (10441110220043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 362276 + ... + 4584044.

Almost surely, 210441110220040 is an apocalyptic number.

10441110220040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10441110220040 is an abundant number, since it is smaller than the sum of its proper divisors (14440144581160).

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

10441110220040 is a wasteful number, since it uses less digits than its factorization.

10441110220040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4225434 (or 4225430 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 10441110220040 its reverse (4002201114401), we get a palindrome (14443311334441).

The spelling of 10441110220040 in words is "ten trillion, four hundred forty-one billion, one hundred ten million, two hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 3637 7274 14548 18185 29096 36370 61829 72740 123658 145480 247316 309145 494632 618290 1236580 2473160 4221769 8443538 16887076 21108845 33774152 42217690 71770073 84435380 143540146 168870760 287080292 358850365 574160584 717700730 1435401460 2870802920 15354573853 30709147706 61418295412 76772869265 122836590824 153545738530 261027755501 307091477060 522055511002 614182954120 1044111022004 1305138777505 2088222044008 2610277555010 5220555110020 10441110220040