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1341714481920 = 283451931127173
BaseRepresentation
bin10011100001100100011…
…010100100001100000000
311202021012101111200210000
4103201210122210030000
5133440312401410140
62504213005440000
7165635635631631
oct23414432441400
94667171450700
101341714481920
1147802193493a
12198049570000
13996a5426b37
1448d2172b888
1524d7b1c1a30
hex138646a4300

1341714481920 has 1440 divisors, whose sum is σ = 5288064122880. Its totient is φ = 323561226240.

The previous prime is 1341714481903. The next prime is 1341714481927. The reversal of 1341714481920 is 291844171431.

1341714481920 is a `hidden beast` number, since 1 + 3 + 4 + 17 + 1 + 448 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1341714481927) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7755574954 + ... + 7755575126.

It is an arithmetic number, because the mean of its divisors is an integer number (3672266752).

Almost surely, 21341714481920 is an apocalyptic number.

1341714481920 is a gapful number since it is divisible by the number (10) 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 1341714481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644032061440).

1341714481920 is an abundant number, since it is smaller than the sum of its proper divisors (3946349640960).

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

1341714481920 is a wasteful number, since it uses less digits than its factorization.

1341714481920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1341714481920 in words is "one trillion, three hundred forty-one billion, seven hundred fourteen million, four hundred eighty-one thousand, nine hundred twenty".