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11434067040 = 2535112165543
BaseRepresentation
bin10101010011000011…
…00000010001100000
31002111212012210021110
422221201200101200
5141404110121130
65130331423320
7553226652264
oct125141402140
932455183243
1011434067040
114938261890
1222712b4b40
131102b36156
147a67c20a4
1546dc31ab0
hex2a9860460

11434067040 has 96 divisors (see below), whose sum is σ = 39291630336. Its totient is φ = 2771893760.

The previous prime is 11434067023. The next prime is 11434067053. The reversal of 11434067040 is 4076043411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11434066989 and 11434067007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1077492 + ... + 1088051.

It is an arithmetic number, because the mean of its divisors is an integer number (409287816).

Almost surely, 211434067040 is an apocalyptic number.

11434067040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11434067040 is an abundant number, since it is smaller than the sum of its proper divisors (27857563296).

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

11434067040 is a wasteful number, since it uses less digits than its factorization.

11434067040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165572 (or 2165564 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 11434067040 in words is "eleven billion, four hundred thirty-four million, sixty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 2165543 4331086 6496629 8662172 10827715 12993258 17324344 21655430 23820973 25986516 32483145 34648688 43310860 47641946 51973032 64966290 69297376 71462919 86621720 95283892 103946064 119104865 129932580 142925838 173243440 190567784 207892128 238209730 259865160 285851676 346486880 357314595 381135568 476419460 519730320 571703352 714629190 762271136 952838920 1039460640 1143406704 1429258380 1905677840 2286813408 2858516760 3811355680 5717033520 11434067040