Search a number
-
+
2401225253541 = 323471637469691
BaseRepresentation
bin100010111100010100001…
…011011010001010100101
322111112222111221112211200
4202330110023122022211
5303320202131103131
65035035130353113
7335324412613602
oct42742413321245
98445874845750
102401225253541
11846399068314
1232945958b799
131455859995ba
14843116776a9
15426dc24e2e6
hex22f142da2a5

2401225253541 has 24 divisors (see below), whose sum is σ = 3480564263904. Its totient is φ = 1595225055840.

The previous prime is 2401225253521. The next prime is 2401225253543. The reversal of 2401225253541 is 1453525221042.

2401225253541 is a `hidden beast` number, since 2 + 4 + 0 + 12 + 2 + 52 + 53 + 541 = 666.

It is not a de Polignac number, because 2401225253541 - 218 = 2401224991397 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2401225253496 and 2401225253505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2401225253543) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4877506 + ... + 5347196.

It is an arithmetic number, because the mean of its divisors is an integer number (145023510996).

Almost surely, 22401225253541 is an apocalyptic number.

It is an amenable number.

2401225253541 is a deficient number, since it is larger than the sum of its proper divisors (1079339010363).

2401225253541 is a wasteful number, since it uses less digits than its factorization.

2401225253541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471681 (or 471678 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 2401225253541 in words is "two trillion, four hundred one billion, two hundred twenty-five million, two hundred fifty-three thousand, five hundred forty-one".

Divisors: 1 3 9 347 1041 1637 3123 4911 14733 469691 568039 1409073 1704117 4227219 5112351 162982777 488948331 768884167 1466844993 2306652501 6919957503 266802805949 800408417847 2401225253541