Search a number
-
+
200043043241130 = 232515781711732631
BaseRepresentation
bin101101011111000000100110…
…100010000011110010101010
3222020021221001122002021002100
4231133000212202003302222
5202210001123032204010
61545242301055314230
760064430044655445
oct5537004642036252
9866257048067070
10200043043241130
1158815861886501
121a52982251b976
138780c9398582b
1437581c645265c
15181d8a2d0c2c0
hexb5f026883caa

200043043241130 has 96 divisors (see below), whose sum is σ = 523489088124288. Its totient is φ = 52998518102400.

The previous prime is 200043043241113. The next prime is 200043043241131. The reversal of 200043043241130 is 31142340340002.

200043043241130 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 4 + 304 + 324 + 1 + 1 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 200043043241094 and 200043043241103.

It is not an unprimeable number, because it can be changed into a prime (200043043241131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114589915 + ... + 116322545.

It is an arithmetic number, because the mean of its divisors is an integer number (5453011334628).

Almost surely, 2200043043241130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200043043241130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261744544062144).

200043043241130 is an abundant number, since it is smaller than the sum of its proper divisors (323446044883158).

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

200043043241130 is a wasteful number, since it uses less digits than its factorization.

200043043241130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740972 (or 1740969 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 200043043241130 its reverse (31142340340002), we get a palindrome (231185383581132).

The spelling of 200043043241130 in words is "two hundred trillion, forty-three billion, forty-three million, two hundred forty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 157 314 471 785 942 1413 1570 2355 2826 4710 7065 8171 14130 16342 24513 40855 49026 73539 81710 122565 147078 245130 367695 735390 1282847 1732631 2565694 3465262 3848541 5197893 6414235 7697082 8663155 10395786 11545623 12828470 15593679 17326310 19242705 23091246 25989465 31187358 38485410 51978930 57728115 77968395 115456230 155936790 272023067 544046134 816069201 1360115335 1632138402 2448207603 2720230670 4080346005 4896415206 8160692010 12241038015 14157327901 24482076030 28314655802 42471983703 70786639505 84943967406 127415951109 141573279010 212359918515 254831902218 424719837030 637079755545 1274159511090 2222700480457 4445400960914 6668101441371 11113502402285 13336202882742 20004304324113 22227004804570 33340507206855 40008608648226 66681014413710 100021521620565 200043043241130