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1140010321320 = 2332513243591949
BaseRepresentation
bin10000100101101101111…
…010010000010110101000
311000222120021112200102100
4100211231322100112220
5122134220120240240
62231414041333400
7145235342563443
oct20455572202650
94028507480370
101140010321320
113aa526119652
12164b37197260
138366c032710
143d2691a065a
151e9c3325e30
hex1096de905a8

1140010321320 has 96 divisors (see below), whose sum is σ = 3990036141000. Its totient is φ = 280617924096.

The previous prime is 1140010321319. The next prime is 1140010321337. The reversal of 1140010321320 is 231230100411.

1140010321320 is a `hidden beast` number, since 1 + 14 + 0 + 0 + 10 + 321 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 441137729124 + 698872592196 = 664182^2 + 835986^2 .

It is a super-2 number, since 2×11400103213202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1140010321293 and 1140010321302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121791295 + ... + 121800654.

Almost surely, 21140010321320 is an apocalyptic number.

1140010321320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1140010321320 is an abundant number, since it is smaller than the sum of its proper divisors (2850025819680).

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

1140010321320 is a wasteful number, since it uses less digits than its factorization.

1140010321320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243591979 (or 243591972 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1140010321320 its reverse (231230100411), we get a palindrome (1371240421731).

The spelling of 1140010321320 in words is "one trillion, one hundred forty billion, ten million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 243591949 487183898 730775847 974367796 1217959745 1461551694 1948735592 2192327541 2435919490 2923103388 3166695337 3653879235 4384655082 4871838980 5846206776 6333390674 7307758470 8769310164 9500086011 9743677960 10961637705 12666781348 14615516940 15833476685 17538620328 19000172022 21923275410 25333562696 28500258033 29231033880 31666953370 38000344044 43846550820 47500430055 57000516066 63333906740 76000688088 87693101640 95000860110 114001032132 126667813480 142501290165 190001720220 228002064264 285002580330 380003440440 570005160660 1140010321320