Search a number
-
+
41113111000 = 2353139713257
BaseRepresentation
bin100110010010100010…
…000100100111011000
310221010020120102201211
4212102202010213120
51133144424023000
630515340352504
72653551451243
oct462242044730
9127106512654
1041113111000
1116488308895
127b74845734
133b52873b20
141dc036025a
1511095ac7ba
hex9928849d8

41113111000 has 128 divisors (see below), whose sum is σ = 103743581760. Its totient is φ = 15159936000.

The previous prime is 41113110991. The next prime is 41113111019. The reversal of 41113111000 is 11131114.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12621372 + ... + 12624628.

Almost surely, 241113111000 is an apocalyptic number.

41113111000 is a gapful number since it is divisible by the number (40) 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 41113111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51871790880).

41113111000 is an abundant number, since it is smaller than the sum of its proper divisors (62630470760).

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

41113111000 is a wasteful number, since it uses less digits than its factorization.

41113111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4262 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 41113111000 its reverse (11131114), we get a palindrome (41124242114).

The spelling of 41113111000 in words is "forty-one billion, one hundred thirteen million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 971 1000 1300 1625 1942 2600 3250 3257 3884 4855 6500 6514 7768 9710 12623 13000 13028 16285 19420 24275 25246 26056 32570 38840 42341 48550 50492 63115 65140 81425 84682 97100 100984 121375 126230 130280 162850 169364 194200 211705 242750 252460 315575 325700 338728 407125 423410 485500 504920 631150 651400 814250 846820 971000 1058525 1262300 1577875 1628500 1693640 2117050 2524600 3155750 3162547 3257000 4234100 5292625 6311500 6325094 8468200 10585250 12623000 12650188 15812735 21170500 25300376 31625470 41113111 42341000 63250940 79063675 82226222 126501880 158127350 164452444 205565555 316254700 328904888 395318375 411131110 632509400 790636750 822262220 1027827775 1581273500 1644524440 2055655550 3162547000 4111311100 5139138875 8222622200 10278277750 20556555500 41113111000