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1115300550040 = 2354110338317239
BaseRepresentation
bin10000001110101101000…
…101111101010110011000
310221121210012202020120021
4100032231011331112120
5121233113420100130
62212210105240224
7143402121154105
oct20165505752630
93847705666507
101115300550040
1139aaa60a2776
1216019ba93074
1381231985591
143bda35a5aac
151e028d8237a
hex103ad17d598

1115300550040 has 128 divisors (see below), whose sum is σ = 2602517299200. Its totient is φ = 429863316480.

The previous prime is 1115300550011. The next prime is 1115300550061. The reversal of 1115300550040 is 400550035111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1115300549987 and 1115300550014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64687741 + ... + 64704979.

It is an arithmetic number, because the mean of its divisors is an integer number (20332166400).

Almost surely, 21115300550040 is an apocalyptic number.

1115300550040 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 1115300550040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301258649600).

1115300550040 is an abundant number, since it is smaller than the sum of its proper divisors (1487216749160).

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

1115300550040 is a wasteful number, since it uses less digits than its factorization.

1115300550040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17777 (or 17773 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

Adding to 1115300550040 its reverse (400550035111), we get a palindrome (1515850585151).

The spelling of 1115300550040 in words is "one trillion, one hundred fifteen billion, three hundred million, five hundred fifty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 103 164 205 206 328 383 410 412 515 766 820 824 1030 1532 1640 1915 2060 3064 3830 4120 4223 7660 8446 15320 15703 16892 17239 21115 31406 33784 34478 39449 42230 62812 68956 78515 78898 84460 86195 125624 137912 157030 157796 168920 172390 197245 314060 315592 344780 394490 628120 689560 706799 788980 1413598 1577960 1617409 1775617 2827196 3234818 3533995 3551234 5654392 6469636 6602537 7067990 7102468 8087045 8878085 12939272 13205074 14135980 14204936 16174090 17756170 26410148 28271960 32348180 33012685 35512340 52820296 64696360 66025370 71024680 72800297 132050740 145600594 264101480 270704017 291201188 364001485 541408034 582402376 680061311 728002970 1082816068 1353520085 1360122622 1456005940 2165632136 2707040170 2720245244 2912011880 3400306555 5414080340 5440490488 6800613110 10828160680 13601226220 27202452440 27882513751 55765027502 111530055004 139412568755 223060110008 278825137510 557650275020 1115300550040