Search a number
-
+
1374755580000 = 253254114367241
BaseRepresentation
bin10100000000010101110…
…100010110100001100000
311212102111002011101110100
4110000111310112201200
5140010444412030000
62531315355102400
7201215503423635
oct24002564264140
94772432141410
101374755580000
11490037759970
121a252aa41a00
139c83c862a4a
144a7779da18c
1525b61caba00
hex14015d16860

1374755580000 has 1440 divisors, whose sum is σ = 5557674874752. Its totient is φ = 319334400000.

The previous prime is 1374755579971. The next prime is 1374755580073. The reversal of 1374755580000 is 855574731.

It is a happy number.

1374755580000 is a `hidden beast` number, since 13 + 7 + 4 + 7 + 55 + 580 + 0 + 0 + 0 = 666.

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

It is a super-3 number, since 3×13747555800003 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5704379880 + ... + 5704380120.

Almost surely, 21374755580000 is an apocalyptic number.

1374755580000 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 1374755580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778837437376).

1374755580000 is an abundant number, since it is smaller than the sum of its proper divisors (4182919294752).

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

1374755580000 is a wasteful number, since it uses less digits than its factorization.

1374755580000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 1374755580000 in words is "one trillion, three hundred seventy-four billion, seven hundred fifty-five million, five hundred eighty thousand".