Search a number
-
+
2421141605361 = 321771978122787
BaseRepresentation
bin100011001110110111010…
…010010000101111110001
322120110101112002001100200
4203032313102100233301
5304131444222332421
65052131311105413
7336631101041343
oct43166722205761
98513345061320
102421141605361
11853889354206
12331297512269
1314740ac3746b
14852807c7293
1542ea5995726
hex233b7490bf1

2421141605361 has 48 divisors (see below), whose sum is σ = 3755625015168. Its totient is φ = 1497532377600.

The previous prime is 2421141605339. The next prime is 2421141605371. The reversal of 2421141605361 is 1635061411242.

2421141605361 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 1 + 41 + 605 + 3 + 6 + 1 = 666.

It is not a de Polignac number, because 2421141605361 - 213 = 2421141597169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2421141605371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106239610 + ... + 106262396.

It is an arithmetic number, because the mean of its divisors is an integer number (78242187816).

Almost surely, 22421141605361 is an apocalyptic number.

It is an amenable number.

2421141605361 is a deficient number, since it is larger than the sum of its proper divisors (1334483409807).

2421141605361 is a wasteful number, since it uses less digits than its factorization.

2421141605361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32662 (or 32659 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 2421141605361 in words is "two trillion, four hundred twenty-one billion, one hundred forty-one million, six hundred five thousand, three hundred sixty-one".

Divisors: 1 3 9 17 51 71 153 213 639 1207 3621 9781 10863 22787 29343 68361 88029 166277 205083 387379 498831 694451 1162137 1496493 1617877 2083353 3486411 4853631 6250059 11805667 14560893 27503909 35417001 82511727 106251003 222879647 247535181 668638941 2005916823 3788953999 11366861997 15824454937 34100585991 47473364811 142420094433 269015733929 807047201787 2421141605361