Search a number
-
+
1374240639744 = 283473741792
BaseRepresentation
bin10011111111110111001…
…000000000101100000000
311212101011012012201020000
4103333313020000230000
5140003421100432434
62531152322120000
7201166651463250
oct23776710005400
94771135181200
101374240639744
1148a8a3018705
121a24064b0000
139c789c7957b
144a729475960
1525b31991b99
hex13ff7200b00

1374240639744 has 1080 divisors, whose sum is σ = 4990165332768. Its totient is φ = 367992668160.

The previous prime is 1374240639689. The next prime is 1374240639763. The reversal of 1374240639744 is 4479360424731.

It is a happy number.

1374240639744 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 240 + 6 + 397 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17395451097 + ... + 17395451175.

Almost surely, 21374240639744 is an apocalyptic number.

1374240639744 is a gapful number since it is divisible by the number (14) 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 1374240639744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495082666384).

1374240639744 is an abundant number, since it is smaller than the sum of its proper divisors (3615924693024).

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

1374240639744 is an frugal number, since it uses more digits than its factorization.

1374240639744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 1374240639744 in words is "one trillion, three hundred seventy-four billion, two hundred forty million, six hundred thirty-nine thousand, seven hundred forty-four".