Search a number
-
+
1142085080544 = 25311896719589
BaseRepresentation
bin10000100111101001100…
…100110101010111100000
311001011220212120101000120
4100213221210311113200
5122202442240034134
62232355554520240
7145340635003242
oct20475144652740
94034825511016
101142085080544
114003a02879a1
12165415b96080
138390cb238b5
143d3c495a092
151ea95554649
hex109e99355e0

1142085080544 has 24 divisors (see below), whose sum is σ = 2997973336680. Its totient is φ = 380695026816.

The previous prime is 1142085080503. The next prime is 1142085080561. The reversal of 1142085080544 is 4450805802411.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 1142085080496 and 1142085080505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5948359699 + ... + 5948359890.

It is an arithmetic number, because the mean of its divisors is an integer number (124915555695).

Almost surely, 21142085080544 is an apocalyptic number.

It is an amenable number.

1142085080544 is an abundant number, since it is smaller than the sum of its proper divisors (1855888256136).

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

1142085080544 is a wasteful number, since it uses less digits than its factorization.

1142085080544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11896719602 (or 11896719594 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 42.

The spelling of 1142085080544 in words is "one trillion, one hundred forty-two billion, eighty-five million, eighty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 11896719589 23793439178 35690158767 47586878356 71380317534 95173756712 142760635068 190347513424 285521270136 380695026848 571042540272 1142085080544