Search a number
-
+
40199254650 = 2325231292957
BaseRepresentation
bin100101011100000011…
…111111001001111010
310211202112222201111100
4211130003333021322
51124312002122100
630244533312230
72622114012102
oct453403771172
9124675881440
1040199254650
1116059482005
12795a795676
133a38438519
141d34c38202
1510a4245400
hex95c0ff27a

40199254650 has 108 divisors (see below), whose sum is σ = 111599518446. Its totient is φ = 10373889600.

The previous prime is 40199254639. The next prime is 40199254657. The reversal of 40199254650 is 5645299104.

40199254650 is a `hidden beast` number, since 4 + 0 + 19 + 92 + 546 + 5 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 25379357481 + 14819897169 = 159309^2 + 121737^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 40199254596 and 40199254605.

It is not an unprimeable number, because it can be changed into a prime (40199254657) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 385972 + ... + 478928.

Almost surely, 240199254650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40199254650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55799759223).

40199254650 is an abundant number, since it is smaller than the sum of its proper divisors (71400263796).

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

40199254650 is a wasteful number, since it uses less digits than its factorization.

40199254650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93037 (or 92998 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

It can be divided in two parts, 40199 and 254650, that added together give a square (294849 = 5432).

The spelling of 40199254650 in words is "forty billion, one hundred ninety-nine million, two hundred fifty-four thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 31 45 50 62 75 90 93 150 155 186 225 279 310 450 465 558 775 930 961 1395 1550 1922 2325 2790 2883 4650 4805 5766 6975 8649 9610 13950 14415 17298 24025 28830 43245 48050 72075 86490 92957 144150 185914 216225 278871 432450 464785 557742 836613 929570 1394355 1673226 2323925 2788710 2881667 4183065 4647850 5763334 6971775 8366130 8645001 13943550 14408335 17290002 20915325 25935003 28816670 41830650 43225005 51870006 72041675 86450010 89331677 129675015 144083350 178663354 216125025 259350030 267995031 432250050 446658385 535990062 648375075 803985093 893316770 1296750150 1339975155 1607970186 2233291925 2679950310 4019925465 4466583850 6699875775 8039850930 13399751550 20099627325 40199254650