Search a number
-
+
1113141505440 = 25356734612609
BaseRepresentation
bin10000001100101100011…
…001110110110110100000
310221102012202010102011110
4100030230121312312200
5121214203211133230
62211211541343320
7143264453452326
oct20145431666640
93842182112143
101113141505440
1139a0983a6598
1215b898a07b40
1380c795935b3
143bc3a949d16
151de4e5554b0
hex1032c676da0

1113141505440 has 96 divisors (see below), whose sum is σ = 3558730109760. Its totient is φ = 292407312384.

The previous prime is 1113141505439. The next prime is 1113141505477. The reversal of 1113141505440 is 445051413111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11131415054402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1113141505398 and 1113141505407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17274145 + ... + 17338464.

It is an arithmetic number, because the mean of its divisors is an integer number (37070105310).

Almost surely, 21113141505440 is an apocalyptic number.

1113141505440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1113141505440 is an abundant number, since it is smaller than the sum of its proper divisors (2445588604320).

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

1113141505440 is a wasteful number, since it uses less digits than its factorization.

1113141505440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34612694 (or 34612686 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 1113141505440 its reverse (445051413111), we get a palindrome (1558192918551).

The spelling of 1113141505440 in words is "one trillion, one hundred thirteen billion, one hundred forty-one million, five hundred five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 67 80 96 120 134 160 201 240 268 335 402 480 536 670 804 1005 1072 1340 1608 2010 2144 2680 3216 4020 5360 6432 8040 10720 16080 32160 34612609 69225218 103837827 138450436 173063045 207675654 276900872 346126090 415351308 519189135 553801744 692252180 830702616 1038378270 1107603488 1384504360 1661405232 2076756540 2319044803 2769008720 3322810464 4153513080 4638089606 5538017440 6957134409 8307026160 9276179212 11595224015 13914268818 16614052320 18552358424 23190448030 27828537636 34785672045 37104716848 46380896060 55657075272 69571344090 74209433696 92761792120 111314150544 139142688180 185523584240 222628301088 278285376360 371047168480 556570752720 1113141505440