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11231434401240 = 2335337379732799
BaseRepresentation
bin1010001101110000010110…
…1010000110010111011000
31110202201021222022101202210
42203130011222012113120
52433003434201314430
635515352201555120
72236305262141104
oct243340552062730
943681258271683
1011231434401240
113640251a0a009
1213148887a5aa0
13636173040141
142ab8663aa904
1514724e6452b0
hexa3705a865d8

11231434401240 has 128 divisors (see below), whose sum is σ = 33883499520000. Its totient is φ = 2978278668288.

The previous prime is 11231434401233. The next prime is 11231434401241. The reversal of 11231434401240 is 4210443413211.

It is a happy number.

It is a super-2 number, since 2×112314344012402 (a number of 27 digits) contains 22 as substring.

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 = 11231434401198 and 11231434401207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11231434401241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14960361 + ... + 15693159.

It is an arithmetic number, because the mean of its divisors is an integer number (264714840000).

Almost surely, 211231434401240 is an apocalyptic number.

11231434401240 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 11231434401240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16941749760000).

11231434401240 is an abundant number, since it is smaller than the sum of its proper divisors (22652065118760).

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

11231434401240 is a wasteful number, since it uses less digits than its factorization.

11231434401240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733529 (or 733525 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 11231434401240 its reverse (4210443413211), we get a palindrome (15441877814451).

The spelling of 11231434401240 in words is "eleven trillion, two hundred thirty-one billion, four hundred thirty-four million, four hundred one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 337 379 674 758 1011 1137 1348 1516 1685 1895 2022 2274 2696 3032 3370 3790 4044 4548 5055 5685 6740 7580 8088 9096 10110 11370 13480 15160 20220 22740 40440 45480 127723 255446 383169 510892 638615 732799 766338 1021784 1277230 1465598 1532676 1915845 2198397 2554460 2931196 3065352 3663995 3831690 4396794 5108920 5862392 7327990 7663380 8793588 10991985 14655980 15326760 17587176 21983970 29311960 43967940 87935880 246953263 277730821 493906526 555461642 740859789 833192463 987813052 1110923284 1234766315 1388654105 1481719578 1666384926 1975626104 2221846568 2469532630 2777308210 2963439156 3332769852 3704298945 4165962315 4939065260 5554616420 5926878312 6665539704 7408597890 8331924630 9878130520 11109232840 14817195780 16663849260 29634391560 33327698520 93595286677 187190573354 280785860031 374381146708 467976433385 561571720062 748762293416 935952866770 1123143440124 1403929300155 1871905733540 2246286880248 2807858600310 3743811467080 5615717200620 11231434401240