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11504113103040 = 263522952329481
BaseRepresentation
bin1010011101101000001010…
…0100110011000011000000
31111201210010102101200012120
42213122002210303003000
53001440410423244130
640244525552524240
72265100434644025
oct247320244630300
944653112350176
1011504113103040
113735959a31618
1213596a8250680
13655aaa7440bc
142bab32b5154c
1514e3ad454910
hexa76829330c0

11504113103040 has 112 divisors (see below), whose sum is σ = 36685060061280. Its totient is φ = 3054367088640.

The previous prime is 11504113103023. The next prime is 11504113103101. The reversal of 11504113103040 is 4030131140511.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11504113103040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25944901 + ... + 26384580.

Almost surely, 211504113103040 is an apocalyptic number.

11504113103040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11504113103040 is an abundant number, since it is smaller than the sum of its proper divisors (25180946958240).

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

11504113103040 is a wasteful number, since it uses less digits than its factorization.

11504113103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52329730 (or 52329720 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 11504113103040 its reverse (4030131140511), we get a palindrome (15534244243551).

The spelling of 11504113103040 in words is "eleven trillion, five hundred four billion, one hundred thirteen million, one hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 229 240 320 458 480 687 916 960 1145 1374 1832 2290 2748 3435 3664 4580 5496 6870 7328 9160 10992 13740 14656 18320 21984 27480 36640 43968 54960 73280 109920 219840 52329481 104658962 156988443 209317924 261647405 313976886 418635848 523294810 627953772 784942215 837271696 1046589620 1255907544 1569884430 1674543392 2093179240 2511815088 3139768860 3349086784 4186358480 5023630176 6279537720 8372716960 10047260352 11983451149 12559075440 16745433920 23966902298 25118150880 35950353447 47933804596 50236301760 59917255745 71900706894 95867609192 119834511490 143801413788 179751767235 191735218384 239669022980 287602827576 359503534470 383470436768 479338045960 575205655152 719007068940 766940873536 958676091920 1150411310304 1438014137880 1917352183840 2300822620608 2876028275760 3834704367680 5752056551520 11504113103040