Search a number
-
+
1014431332020 = 223561736597489
BaseRepresentation
bin11101100001100001101…
…00011011011010110100
310120222102110112001100120
432300300310123122310
5113110023410111040
62054005012011540
7133201361023221
oct16606064333264
93528373461316
101014431332020
1136124404a277
1214472b000bb0
1374878069362
1437154d1c948
151b5c369b7d0
hexec30d1b6b4

1014431332020 has 96 divisors (see below), whose sum is σ = 2846168841600. Its totient is φ = 269966721024.

The previous prime is 1014431332007. The next prime is 1014431332039. The reversal of 1014431332020 is 202331344101.

It is a happy number.

1014431332020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135452436 + ... + 135459924.

It is an arithmetic number, because the mean of its divisors is an integer number (29647592100).

Almost surely, 21014431332020 is an apocalyptic number.

1014431332020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014431332020 is an abundant number, since it is smaller than the sum of its proper divisors (1831737509580).

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

1014431332020 is a wasteful number, since it uses less digits than its factorization.

1014431332020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11777 (or 11775 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1014431332020 its reverse (202331344101), we get a palindrome (1216762676121).

The spelling of 1014431332020 in words is "one trillion, fourteen billion, four hundred thirty-one million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 617 1234 1851 2468 3085 3659 3702 6170 7318 7404 7489 9255 10977 12340 14636 14978 18295 18510 21954 22467 29956 36590 37020 37445 43908 44934 54885 73180 74890 89868 109770 112335 149780 219540 224670 449340 2257603 4515206 4620713 6772809 9030412 9241426 11288015 13545618 13862139 18482852 22576030 23103565 27091236 27402251 27724278 33864045 45152060 46207130 54804502 55448556 67728090 69310695 82206753 92414260 109609004 135456180 137011255 138621390 164413506 274022510 277242780 328827012 411033765 548045020 822067530 1644135060 16907188867 33814377734 50721566601 67628755468 84535944335 101443133202 169071888670 202886266404 253607833005 338143777340 507215666010 1014431332020