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7142273404002 = 23211421287929761
BaseRepresentation
bin110011111101111000010…
…1010110100110001100010
3221021210110022110202010200
41213323300222310301202
51414004333442412002
623105040510210030
71335004123150422
oct147736052646142
927253408422120
107142273404002
112304026157570
12974278ab3916
133ca68a1acc99
141a998b76c482
15c5bc0cdbb1c
hex67ef0ab4c62

7142273404002 has 96 divisors (see below), whose sum is σ = 16928282741760. Its totient is φ = 2158361856000.

The previous prime is 7142273403983. The next prime is 7142273404043. The reversal of 7142273404002 is 2004043722417.

7142273404002 is a `hidden beast` number, since 7 + 142 + 2 + 73 + 40 + 400 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239972802 + ... + 240002562.

It is an arithmetic number, because the mean of its divisors is an integer number (176336278560).

Almost surely, 27142273404002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7142273404002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8464141370880).

7142273404002 is an abundant number, since it is smaller than the sum of its proper divisors (9786009337758).

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

7142273404002 is a wasteful number, since it uses less digits than its factorization.

7142273404002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33080 (or 33077 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 7142273404002 in words is "seven trillion, one hundred forty-two billion, two hundred seventy-three million, four hundred four thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 421 842 1263 2526 2879 3789 4631 5758 7578 8637 9262 13893 17274 25911 27786 29761 31669 41679 51822 59522 63338 83358 89283 95007 178566 190014 267849 285021 327371 535698 570042 654742 982113 1212059 1964226 2424118 2946339 3636177 5892678 7272354 10908531 12529381 13332649 21817062 25058762 26665298 37588143 39997947 75176286 79995894 85681919 112764429 119993841 137823191 171363838 225528858 239987682 257045757 275646382 413469573 514091514 771137271 826939146 942501109 1240408719 1542274542 1885002218 2480817438 2827503327 5655006654 8482509981 16965019962 36072087899 72144175798 108216263697 216432527394 324648791091 396792966889 649297582182 793585933778 1190378900667 2380757801334 3571136702001 7142273404002