Search a number
-
+
1403666288640 = 212375711237
BaseRepresentation
bin10100011011010001000…
…001111101000000000000
311222012002220202120000000
4110123101001331000000
5140444202032214030
62552500240000000
7203261105410140
oct24332101750000
94865086676000
101403666288640
114a1323032200
121a8059000000
13a2499356435
144bd1b4d2920
15267a4e67860
hex146d107d000

1403666288640 has 2496 divisors, whose sum is σ = 6517593116160. Its totient is φ = 283787919360.

The previous prime is 1403666288569. The next prime is 1403666288659. The reversal of 1403666288640 is 468826663041.

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 191 ways as a sum of consecutive naturals, for example, 37936926702 + ... + 37936926738.

Almost surely, 21403666288640 is an apocalyptic number.

1403666288640 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 1403666288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3258796558080).

1403666288640 is an abundant number, since it is smaller than the sum of its proper divisors (5113926827520).

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

1403666288640 is an frugal number, since it uses more digits than its factorization.

1403666288640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 1403666288640 in words is "one trillion, four hundred three billion, six hundred sixty-six million, two hundred eighty-eight thousand, six hundred forty".