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11404303000040 = 2351633496917253
BaseRepresentation
bin1010010111110100010101…
…1011011110000111101000
31111101020111111002002200002
42211331011123132013220
52443322003032000130
640131021532002132
72254635155034056
oct245750533360750
944336444062602
1011404303000040
1136a75a0808995
121342292000348
13649562392262
142b5d850031d6
1514b9bac2ab45
hexa5f456de1e8

11404303000040 has 128 divisors (see below), whose sum is σ = 25932121488000. Its totient is φ = 4513579822080.

The previous prime is 11404303000039. The next prime is 11404303000043. The reversal of 11404303000040 is 4000030340411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11404302999976 and 11404303000021.

It is not an unprimeable number, because it can be changed into a prime (11404303000043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1572353054 + ... + 1572360306.

It is an arithmetic number, because the mean of its divisors is an integer number (202594699125).

Almost surely, 211404303000040 is an apocalyptic number.

11404303000040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11404303000040 is an abundant number, since it is smaller than the sum of its proper divisors (14527818487960).

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

11404303000040 is a wasteful number, since it uses less digits than its factorization.

11404303000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8467 (or 8463 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 11404303000040 its reverse (4000030340411), we get a palindrome (15404333340451).

The spelling of 11404303000040 in words is "eleven trillion, four hundred four billion, three hundred three million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 163 326 349 652 691 698 815 1304 1382 1396 1630 1745 2764 2792 3260 3455 3490 5528 6520 6910 6980 7253 13820 13960 14506 27640 29012 36265 56887 58024 72530 112633 113774 145060 225266 227548 241159 284435 290120 450532 455096 482318 563165 568870 901064 964636 1126330 1137740 1182239 1205795 1929272 2252660 2275480 2364478 2411590 2531297 4505320 4728956 4823180 5011823 5062594 5911195 9457912 9646360 10023646 10125188 11822390 12656485 20047292 20250376 23644780 25059115 25312970 39308917 40094584 47289560 50118230 50625940 78617834 100236460 101251880 157235668 196544585 200472920 314471336 393089170 412601411 786178340 816927149 825202822 1572356680 1633854298 1650405644 1749126227 2063007055 3267708596 3300811288 3498252454 4084635745 4126014110 6535417192 6996504908 8169271490 8252028220 8745631135 13993009816 16338542980 16504056440 17491262270 32677085960 34982524540 69965049080 285107575001 570215150002 1140430300004 1425537875005 2280860600008 2851075750010 5702151500020 11404303000040