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11117970610440 = 23353115119792727
BaseRepresentation
bin1010000111001001101010…
…1100000101100100001000
31110100212102111011121200120
42201302122230011210020
52424124100434013230
635351305235103240
72225150450630151
oct241623254054410
943325374147616
1011117970610440
1135a7117623681
1212b68a1a41b20
13628560043ba5
142a6181172928
1514430d3e4310
hexa1c9ab05908

11117970610440 has 128 divisors (see below), whose sum is σ = 34657858437120. Its totient is φ = 2850152544000.

The previous prime is 11117970610421. The next prime is 11117970610463. The reversal of 11117970610440 is 4401607971111.

It is a junction number, because it is equal to n+sod(n) for n = 11117970610392 and 11117970610401.

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 31 ways as a sum of consecutive naturals, for example, 9334644 + ... + 10458083.

It is an arithmetic number, because the mean of its divisors is an integer number (270764519040).

Almost surely, 211117970610440 is an apocalyptic number.

11117970610440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11117970610440 is an abundant number, since it is smaller than the sum of its proper divisors (23539887826680).

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

11117970610440 is a wasteful number, since it uses less digits than its factorization.

11117970610440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19792923 (or 19792919 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 42.

The spelling of 11117970610440 in words is "eleven trillion, one hundred seventeen billion, nine hundred seventy million, six hundred ten thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 151 155 186 248 302 310 372 453 465 604 620 744 755 906 930 1208 1240 1510 1812 1860 2265 3020 3624 3720 4530 4681 6040 9060 9362 14043 18120 18724 23405 28086 37448 46810 56172 70215 93620 112344 140430 187240 280860 561720 19792727 39585454 59378181 79170908 98963635 118756362 158341816 197927270 237512724 296890905 395854540 475025448 593781810 613574537 791709080 1187563620 1227149074 1840723611 2375127240 2454298148 2988701777 3067872685 3681447222 4908596296 5977403554 6135745370 7362894444 8966105331 9203618055 11954807108 12271490740 14725788888 14943508885 17932210662 18407236110 23909614216 24542981480 29887017770 35864421324 36814472220 44830526655 59774035540 71728842648 73628944440 89661053310 92649755087 119548071080 179322106620 185299510174 277949265261 358644213240 370599020348 463248775435 555898530522 741198040696 926497550870 1111797061044 1389746326305 1852995101740 2223594122088 2779492652610 3705990203480 5558985305220 11117970610440