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343140001112040 = 2335111911361018567
BaseRepresentation
bin100111000000101011000000…
…1110111111101111111101000
31122222221212022122221020210120
41032001112001313331333220
5324434001210241041130
63213444201301443240
7132164022052601256
oct11601260167757750
91588855278836716
10343140001112040
119a375947a93950
123259a9b8110520
1311960c6a390672
1460a40c96455d6
1529a0cd3b60910
hex1381581dfdfe8

343140001112040 has 128 divisors (see below), whose sum is σ = 1128883241041920. Its totient is φ = 82749928812800.

The previous prime is 343140001112017. The next prime is 343140001112159. The reversal of 343140001112040 is 40211100041343.

It is a super-4 number, since 4×3431400011120404 (a number of 59 digits) contains 4444 as substring.

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 343140001112040.

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, 680257164 + ... + 680761403.

It is an arithmetic number, because the mean of its divisors is an integer number (8819400320640).

Almost surely, 2343140001112040 is an apocalyptic number.

343140001112040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

343140001112040 is an abundant number, since it is smaller than the sum of its proper divisors (785743239929880).

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

343140001112040 is a wasteful number, since it uses less digits than its factorization.

343140001112040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361018783 (or 1361018779 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 343140001112040 its reverse (40211100041343), we get a palindrome (383351101153383).

The spelling of 343140001112040 in words is "three hundred forty-three trillion, one hundred forty billion, one million, one hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 191 220 264 330 382 440 573 660 764 955 1146 1320 1528 1910 2101 2292 2865 3820 4202 4584 5730 6303 7640 8404 10505 11460 12606 16808 21010 22920 25212 31515 42020 50424 63030 84040 126060 252120 1361018567 2722037134 4083055701 5444074268 6805092835 8166111402 10888148536 13610185670 14971204237 16332222804 20415278505 27220371340 29942408474 32664445608 40830557010 44913612711 54440742680 59884816948 74856021185 81661114020 89827225422 119769633896 149712042370 163322228040 179654450844 224568063555 259954546297 299424084740 359308901688 449136127110 519909092594 598848169480 779863638891 898272254220 1039818185188 1299772731485 1559727277782 1796544508440 2079636370376 2599545462970 2859500009267 3119454555564 3899318194455 5199090925940 5719000018534 6238909111128 7798636388910 8578500027801 10398181851880 11438000037068 14297500046335 15597272777820 17157000055602 22876000074136 28595000092670 31194545555640 34314000111204 42892500139005 57190000185340 68628000222408 85785000278010 114380000370680 171570000556020 343140001112040