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11440481470780 = 22523316591217417
BaseRepresentation
bin1010011001111011000111…
…0101011000100100111100
31111111200212211020211112211
42212132301311120210330
52444420101224031110
640155403514110204
72260355540000125
oct246366165304474
944450784224484
1011440481470780
1137109765a048a
1213492aa11b364
1364caa97acbab
142b7a17c3704c
1514c8d6e9298a
hexa67b1d5893c

11440481470780 has 96 divisors (see below), whose sum is σ = 25917563105280. Its totient is φ = 4229595363840.

The previous prime is 11440481470751. The next prime is 11440481470819. The reversal of 11440481470780 is 8707418404411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8788632 + ... + 10006048.

It is an arithmetic number, because the mean of its divisors is an integer number (269974615680).

Almost surely, 211440481470780 is an apocalyptic number.

11440481470780 is a gapful number since it is divisible by the number (10) 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 11440481470780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12958781552640).

11440481470780 is an abundant number, since it is smaller than the sum of its proper divisors (14477081634500).

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

11440481470780 is a wasteful number, since it uses less digits than its factorization.

11440481470780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218139 (or 1218137 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 49.

The spelling of 11440481470780 in words is "eleven trillion, four hundred forty billion, four hundred eighty-one million, four hundred seventy thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 230 310 460 620 659 713 1318 1426 2636 2852 3295 3565 6590 7130 13180 14260 15157 20429 30314 40858 60628 75785 81716 102145 151570 204290 303140 408580 469867 939734 1217417 1879468 2349335 2434834 4698670 4869668 6087085 9397340 12174170 24348340 28000591 37739927 56001182 75479854 112002364 140002955 150959708 188699635 280005910 377399270 560011820 754798540 802277803 868018321 1604555606 1736036642 3209111212 3472073284 4011389015 4340091605 8022778030 8680183210 16045556060 17360366420 18452389469 24870611893 36904778938 49741223786 73809557876 92261947345 99482447572 124353059465 184523894690 248706118930 369047789380 497412237860 572024073539 1144048147078 2288096294156 2860120367695 5720240735390 11440481470780