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1145313411440 = 245112356586631
BaseRepresentation
bin10000101010101001111…
…111111100000101110000
311001111020212020120110112
4100222221333330011300
5122231100213131230
62234052201120452
7145513635240542
oct20525177740560
94044225216415
101145313411440
114017a7620760
12165b77189128
1384005901773
143d60d5db692
151ebd3b9bd95
hex10aa9ffc170

1145313411440 has 80 divisors (see below), whose sum is σ = 3031232702976. Its totient is φ = 398369875200.

The previous prime is 1145313411383. The next prime is 1145313411467. The reversal of 1145313411440 is 441143135411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1145313411397 and 1145313411406.

It is a congruent number.

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, 28273076 + ... + 28313555.

Almost surely, 21145313411440 is an apocalyptic number.

1145313411440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1145313411440 is an abundant number, since it is smaller than the sum of its proper divisors (1885919291536).

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

1145313411440 is a wasteful number, since it uses less digits than its factorization.

1145313411440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56586678 (or 56586672 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 1145313411440 its reverse (441143135411), we get a palindrome (1586456546851).

The spelling of 1145313411440 in words is "one trillion, one hundred forty-five billion, three hundred thirteen million, four hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 110 115 176 184 220 230 253 368 440 460 506 880 920 1012 1265 1840 2024 2530 4048 5060 10120 20240 56586631 113173262 226346524 282933155 452693048 565866310 622452941 905386096 1131732620 1244905882 1301492513 2263465240 2489811764 2602985026 3112264705 4526930480 4979623528 5205970052 6224529410 6507462565 9959247056 10411940104 12449058820 13014925130 14316417643 20823880208 24898117640 26029850260 28632835286 49796235280 52059700520 57265670572 71582088215 104119401040 114531341144 143164176430 229062682288 286328352860 572656705720 1145313411440