Search a number
-
+
1042660542240 = 253353114952253
BaseRepresentation
bin11110010110000110110…
…10010100011100100000
310200200021210202111211000
433023003122110130200
5114040332044322430
62114554105552000
7135221046243522
oct17130332243440
93620253674730
101042660542240
1137220a76a779
1214a0a8aa5600
13774265caa45
14386720d5a12
151c1c6adbe60
hexf2c3694720

1042660542240 has 384 divisors, whose sum is σ = 3792386304000. Its totient is φ = 267262709760.

The previous prime is 1042660542227. The next prime is 1042660542257. The reversal of 1042660542240 is 422450662401.

1042660542240 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 6 + 605 + 4 + 2 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1042660542195 and 1042660542204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19927954 + ... + 19980206.

It is an arithmetic number, because the mean of its divisors is an integer number (9876006000).

Almost surely, 21042660542240 is an apocalyptic number.

1042660542240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042660542240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896193152000).

1042660542240 is an abundant number, since it is smaller than the sum of its proper divisors (2749725761760).

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

1042660542240 is a wasteful number, since it uses less digits than its factorization.

1042660542240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52457 (or 52443 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 1042660542240 in words is "one trillion, forty-two billion, six hundred sixty million, five hundred forty-two thousand, two hundred forty".