Search a number
-
+
1341956240352 = 253674131997
BaseRepresentation
bin10011100001110010110…
…100110011001111100000
311202021211020102022000000
4103201302310303033200
5133441311244142402
62504253003300000
7165644632560000
oct23416264631740
94667736368000
101341956240352
114781363495a2
121980b651a600
1399713542170
1448d458a0000
1524d92528c1c
hex13872d333e0

1341956240352 has 1680 divisors, whose sum is σ = 5292464178960. Its totient is φ = 331838373888.

The previous prime is 1341956240347. The next prime is 1341956240399. The reversal of 1341956240352 is 2530426591431.

1341956240352 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 9 + 56 + 240 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1341956240298 and 1341956240307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 13834600368 + ... + 13834600464.

It is an arithmetic number, because the mean of its divisors is an integer number (3150276297).

Almost surely, 21341956240352 is an apocalyptic number.

1341956240352 is a gapful number since it is divisible by the number (12) 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 1341956240352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646232089480).

1341956240352 is an abundant number, since it is smaller than the sum of its proper divisors (3950507938608).

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

1341956240352 is an frugal number, since it uses more digits than its factorization.

1341956240352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 1341956240352 in words is "one trillion, three hundred forty-one billion, nine hundred fifty-six million, two hundred forty thousand, three hundred fifty-two".