Search a number
-
+
1400375070720 = 21234517223127
BaseRepresentation
bin10100011000001100110…
…110111101000000000000
311221212121112202100210000
4110120030312331000000
5140420432004230340
62551153505440000
7203113412462463
oct24301466750000
94855545670700
101400375070720
1149a99424649a
121a749a940000
13a209352a502
144bac83612da
152666104bd30
hex1460cdbd000

1400375070720 has 1560 divisors, whose sum is σ = 5608324491264. Its totient is φ = 333538394112.

The previous prime is 1400375070707. The next prime is 1400375070761. The reversal of 1400375070720 is 270705730041.

1400375070720 is a `hidden beast` number, since 140 + 0 + 3 + 7 + 507 + 0 + 7 + 2 + 0 = 666.

It is a super-2 number, since 2×14003750707202 (a number of 25 digits) contains 22 as substring.

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

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, 11026575297 + ... + 11026575423.

Almost surely, 21400375070720 is an apocalyptic number.

1400375070720 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 1400375070720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2804162245632).

1400375070720 is an abundant number, since it is smaller than the sum of its proper divisors (4207949420544).

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

1400375070720 is a wasteful number, since it uses less digits than its factorization.

1400375070720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The spelling of 1400375070720 in words is "one trillion, four hundred billion, three hundred seventy-five million, seventy thousand, seven hundred twenty".