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1040103965550 = 2352134631152023
BaseRepresentation
bin11110010001010110000…
…01110000001101101110
310200102200122002221220110
433020223001300031232
5114020113103344200
62113452301400450
7135100513556256
oct17105301601556
93612618087813
101040103965550
11371118633881
121496b4869126
1377109a4c880
14384ac758966
151c0c7437b50
hexf22b07036e

1040103965550 has 96 divisors (see below), whose sum is σ = 2783879820288. Its totient is φ = 255472398720.

The previous prime is 1040103965531. The next prime is 1040103965599. The reversal of 1040103965550 is 555693010401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 1040103965499 and 1040103965508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 326839 + ... + 1478861.

It is an arithmetic number, because the mean of its divisors is an integer number (28998748128).

Almost surely, 21040103965550 is an apocalyptic number.

1040103965550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040103965550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391939910144).

1040103965550 is an abundant number, since it is smaller than the sum of its proper divisors (1743775854738).

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

1040103965550 is a wasteful number, since it uses less digits than its factorization.

1040103965550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152514 (or 1152509 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 39.

Adding to 1040103965550 its reverse (555693010401), we get a palindrome (1595796975951).

The spelling of 1040103965550 in words is "one trillion, forty billion, one hundred three million, nine hundred sixty-five thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 390 463 650 926 975 1389 1950 2315 2778 4630 6019 6945 11575 12038 13890 18057 23150 30095 34725 36114 60190 69450 90285 150475 180570 300950 451425 902850 1152023 2304046 3456069 5760115 6912138 11520230 14976299 17280345 28800575 29952598 34560690 44928897 57601150 74881495 86401725 89857794 149762990 172803450 224644485 374407475 449288970 533386649 748814950 1066773298 1123222425 1600159947 2246444850 2666933245 3200319894 5333866490 6934026437 8000799735 13334666225 13868052874 16001599470 20802079311 26669332450 34670132185 40003998675 41604158622 69340264370 80007997350 104010396555 173350660925 208020793110 346701321850 520051982775 1040103965550