Search a number
-
+
1397454226272 = 253413297331951
BaseRepresentation
bin10100010101011110110…
…000110100001101100000
311221121001222200002110000
4110111132300310031200
5140343441240220042
62545552005540000
7202651134635136
oct24253660641540
94847058602400
101397454226272
1149972552a865
121a6a04714600
13a1a1936bba0
144b8cc481756
152653e8e174c
hex1455ec34360

1397454226272 has 480 divisors, whose sum is σ = 4587235994880. Its totient is φ = 414379929600.

The previous prime is 1397454226271. The next prime is 1397454226283. The reversal of 1397454226272 is 2726224547931.

1397454226272 is a `hidden beast` number, since 1 + 3 + 9 + 7 + 4 + 5 + 4 + 2 + 2 + 627 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1397454226271) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 716274897 + ... + 716276847.

It is an arithmetic number, because the mean of its divisors is an integer number (9556741656).

Almost surely, 21397454226272 is an apocalyptic number.

1397454226272 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 1397454226272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293617997440).

1397454226272 is an abundant number, since it is smaller than the sum of its proper divisors (3189781768608).

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

1397454226272 is a wasteful number, since it uses less digits than its factorization.

1397454226272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748 (or 2731 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 1397454226272 in words is "one trillion, three hundred ninety-seven billion, four hundred fifty-four million, two hundred twenty-six thousand, two hundred seventy-two".