Search a number
-
+
1754228003040 = 25355794331319
BaseRepresentation
bin11001100001110000001…
…000110001000011100000
320012200222011110210200000
4121201300020301003200
5212220124332044130
63421514202100000
7240511255666542
oct31416010610340
96180864423600
101754228003040
11616a66a7a927
12243b934aa600
13c9566407236
1460c957c3692
1530971475260
hex198702310e0

1754228003040 has 576 divisors, whose sum is σ = 6305896396800. Its totient is φ = 460456648704.

The previous prime is 1754228003039. The next prime is 1754228003041. The reversal of 1754228003040 is 403008224571.

It is a happy number.

1754228003040 is a `hidden beast` number, since 1 + 7 + 542 + 2 + 80 + 0 + 30 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1754228003039) and next prime (1754228003041).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1754228002986 and 1754228003004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1754228003041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1329967501 + ... + 1329968819.

It is an arithmetic number, because the mean of its divisors is an integer number (10947736800).

Almost surely, 21754228003040 is an apocalyptic number.

1754228003040 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 1754228003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3152948198400).

1754228003040 is an abundant number, since it is smaller than the sum of its proper divisors (4551668393760).

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

1754228003040 is a wasteful number, since it uses less digits than its factorization.

1754228003040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 1754228003040 in words is "one trillion, seven hundred fifty-four billion, two hundred twenty-eight million, three thousand, forty".