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1104010334040 = 233559870717909
BaseRepresentation
bin10000000100001100001…
…001001100111101011000
310220112122101012211211010
4100010030021030331120
5121042003121142130
62203101512533520
7142522256001345
oct20041411147530
93815571184733
101104010334040
11396232063349
12159b6a9b12a0
13801528a75b3
143b611d4b7cc
151dab7ab80b0
hex1010c24cf58

1104010334040 has 128 divisors (see below), whose sum is σ = 3368742048000. Its totient is φ = 289363481088.

The previous prime is 1104010334039. The next prime is 1104010334057. The reversal of 1104010334040 is 404330104011.

It is a super-2 number, since 2×11040103340402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1104010333998 and 1104010334016.

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, 61636606 + ... + 61654514.

It is an arithmetic number, because the mean of its divisors is an integer number (26318297250).

Almost surely, 21104010334040 is an apocalyptic number.

1104010334040 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 1104010334040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684371024000).

1104010334040 is an abundant number, since it is smaller than the sum of its proper divisors (2264731713960).

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

1104010334040 is a wasteful number, since it uses less digits than its factorization.

1104010334040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26689 (or 26685 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1104010334040 its reverse (404330104011), we get a palindrome (1508340438051).

The spelling of 1104010334040 in words is "one trillion, one hundred four billion, ten million, three hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 472 590 708 885 1180 1416 1770 2360 3540 7080 8707 17414 17909 26121 34828 35818 43535 52242 53727 69656 71636 87070 89545 104484 107454 130605 143272 174140 179090 208968 214908 261210 268635 348280 358180 429816 513713 522420 537270 716360 1027426 1044840 1056631 1074540 1541139 2054852 2113262 2149080 2568565 3082278 3169893 4109704 4226524 5137130 5283155 6164556 6339786 7705695 8453048 10274260 10566310 12329112 12679572 15411390 15849465 20548520 21132620 25359144 30822780 31698930 42265240 61645560 63397860 126795720 155933663 311867326 467800989 623734652 779668315 935601978 1247469304 1559336630 1871203956 2339004945 3118673260 3742407912 4678009890 6237346520 9200086117 9356019780 18400172234 18712039560 27600258351 36800344468 46000430585 55200516702 73600688936 92000861170 110401033404 138001291755 184001722340 220802066808 276002583510 368003444680 552005167020 1104010334040