Search a number
-
+
700042120000 = 265465326801
BaseRepresentation
bin10100010111111011100…
…00110000101101000000
32110220221010202022111221
422023331300300231000
542432141240320000
61253332300044424
7101401460561236
oct12137560605500
92426833668457
10700042120000
1124a982588013
12b380a833714
13510240c6712
1425c4cb4a956
1513322b2761a
hexa2fdc30b40

700042120000 has 140 divisors (see below), whose sum is σ = 1738600122996. Its totient is φ = 279577600000.

The previous prime is 700042119983. The next prime is 700042120013. The reversal of 700042120000 is 21240007.

It can be written as a sum of positive squares in 10 ways, for example, as 650048737536 + 49993382464 = 806256^2 + 223592^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26106600 + ... + 26133400.

Almost surely, 2700042120000 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 700042120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869300061498).

700042120000 is an abundant number, since it is smaller than the sum of its proper divisors (1038558002996).

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

700042120000 is an equidigital number, since it uses as much as digits as its factorization.

700042120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27486 (or 27461 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

Adding to 700042120000 its reverse (21240007), we get a palindrome (700063360007).

The spelling of 700042120000 in words is "seven hundred billion, forty-two million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 653 800 1000 1250 1306 1600 2000 2500 2612 3265 4000 5000 5224 6530 8000 10000 10448 13060 16325 20000 20896 26120 26801 32650 40000 41792 52240 53602 65300 81625 104480 107204 130600 134005 163250 208960 214408 261200 268010 326500 408125 428816 522400 536020 653000 670025 816250 857632 1044800 1072040 1306000 1340050 1632500 1715264 2144080 2612000 2680100 3265000 3350125 4288160 5224000 5360200 6530000 6700250 8576320 10720400 13060000 13400500 16750625 17501053 21440800 26120000 26801000 33501250 35002106 42881600 53602000 67002500 70004212 87505265 107204000 134005000 140008424 175010530 214408000 268010000 280016848 350021060 437526325 536020000 560033696 700042120 875052650 1072040000 1120067392 1400084240 1750105300 2187631625 2800168480 3500210600 4375263250 5600336960 7000421200 8750526500 10938158125 14000842400 17501053000 21876316250 28001684800 35002106000 43752632500 70004212000 87505265000 140008424000 175010530000 350021060000 700042120000