Search a number
-
+
10053650044040 = 235734229381409
BaseRepresentation
bin1001001001001100110000…
…1111010101010010001000
31022121010020011020212120112
42102103030033111102020
52304204333402402130
633214325535413452
72055231551242001
oct222231417252210
938533204225515
1010053650044040
113226802396199
12116456b084288
1357c09417a805
1426a8565181a8
151267b9e82495
hex924cc3d5488

10053650044040 has 64 divisors (see below), whose sum is σ = 22931409236400. Its totient is φ = 3966229020672.

The previous prime is 10053650044027. The next prime is 10053650044049. The reversal of 10053650044040 is 4044005635001.

It can be written as a sum of positive squares in 8 ways, for example, as 2692966332676 + 7360683711364 = 1641026^2 + 2713058^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10053650043988 and 10053650044006.

It is not an unprimeable number, because it can be changed into a prime (10053650044049) 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, 123454856 + ... + 123536264.

Almost surely, 210053650044040 is an apocalyptic number.

10053650044040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10053650044040 is an abundant number, since it is smaller than the sum of its proper divisors (12877759192360).

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

10053650044040 is a wasteful number, since it uses less digits than its factorization.

10053650044040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123786 (or 123782 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 10053650044040 its reverse (4044005635001), we get a palindrome (14097655679041).

The spelling of 10053650044040 in words is "ten trillion, fifty-three billion, six hundred fifty million, forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 42293 81409 84586 162818 169172 211465 325636 338344 407045 422930 651272 814090 845860 1628180 1691720 3087389 3256360 5942857 6174778 11885714 12349556 15436945 23771428 24699112 29714285 30873890 47542856 59428570 61747780 118857140 123495560 237714280 3443030837 6886061674 13772123348 17215154185 27544246696 34430308370 68860616740 137721233480 251341251101 502682502202 1005365004404 1256706255505 2010730008808 2513412511010 5026825022020 10053650044040