Search a number
-
+
1004103044032 = 26113534040461
BaseRepresentation
bin11101001110010010011…
…01001000101111000000
310112222202200000122202211
432213021031020233000
5112422400334402112
62045140100551504
7132354416023354
oct16471115105700
93488680018684
101004103044032
11357923a9a680
121427280b2594
13738c035844a
1436855341464
151b1bba930a7
hexe9c9348bc0

1004103044032 has 56 divisors (see below), whose sum is σ = 2179813087152. Its totient is φ = 455117414400.

The previous prime is 1004103044017. The next prime is 1004103044051. The reversal of 1004103044032 is 2304403014001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1004103043994 and 1004103044012.

It is a congruent number.

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, 1771719 + ... + 2268742.

Almost surely, 21004103044032 is an apocalyptic number.

It is an amenable number.

1004103044032 is an abundant number, since it is smaller than the sum of its proper divisors (1175710043120).

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

1004103044032 is a wasteful number, since it uses less digits than its factorization.

1004103044032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4040837 (or 4040827 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 1004103044032 its reverse (2304403014001), we get a palindrome (3308506058033).

The spelling of 1004103044032 in words is "one trillion, four billion, one hundred three million, forty-four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 353 704 706 1412 2824 3883 5648 7766 11296 15532 22592 31064 62128 124256 248512 4040461 8080922 16161844 32323688 44445071 64647376 88890142 129294752 177780284 258589504 355560568 711121136 1422242272 1426282733 2844484544 2852565466 5705130932 11410261864 15689110063 22820523728 31378220126 45641047456 62756440252 91282094912 125512880504 251025761008 502051522016 1004103044032