Search a number
-
+
1400137706752 = 2833717779133
BaseRepresentation
bin10100010111111110101…
…101011110110100000000
311221212000000010000121221
4110113332231132310000
5140414440223104002
62551114150124424
7203104501066321
oct24277655366400
94855000100557
101400137706752
1149a882263424
121a7433350714
13a20562c0465
144baa4a14448
152664a2b1c37
hex145feb5ed00

1400137706752 has 72 divisors (see below), whose sum is σ = 2804983844936. Its totient is φ = 697522323456.

The previous prime is 1400137706743. The next prime is 1400137706753. The reversal of 1400137706752 is 2576077310041.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 250576331776 + 1149561374976 = 500576^2 + 1072176^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1400137706699 and 1400137706708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400137706753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153300778 + ... + 153309910.

Almost surely, 21400137706752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1400137706752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402491922468).

1400137706752 is an abundant number, since it is smaller than the sum of its proper divisors (1404846138184).

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

1400137706752 is an equidigital number, since it uses as much as digits as its factorization.

1400137706752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11263 (or 11249 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 43.

The spelling of 1400137706752 in words is "one trillion, four hundred billion, one hundred thirty-seven million, seven hundred six thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 256 337 674 1348 1777 2696 3554 5392 7108 9133 10784 14216 18266 21568 28432 36532 43136 56864 73064 86272 113728 146128 227456 292256 454912 584512 598849 1169024 1197698 2338048 2395396 3077821 4790792 6155642 9581584 12311284 16229341 19163168 24622568 32458682 38326336 49245136 64917364 76652672 98490272 129834728 153305344 196980544 259669456 393961088 519338912 787922176 1038677824 2077355648 4154711296 5469287917 10938575834 21877151668 43754303336 87508606672 175017213344 350034426688 700068853376 1400137706752