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340040133213440 = 2851175132157893
BaseRepresentation
bin100110101010000111100001…
…1010110010111110100000000
31122120222112000112121002011012
41031110033003112113310000
5324032204143100312230
63203112140342340052
7131424042331321022
oct11524170326276400
91576875015532135
10340040133213440
1199390235409890
123217a08072a628
131179785452414a
145dd805d078012
15294a356ac8395
hex13543c3597d00

340040133213440 has 144 divisors (see below), whose sum is σ = 889731233508096. Its totient is φ = 123486305280000.

The previous prime is 340040133213377. The next prime is 340040133213467. The reversal of 340040133213440 is 44312331040043.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 340040133213397 and 340040133213406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5504867 + ... + 26653026.

It is an arithmetic number, because the mean of its divisors is an integer number (6178689121584).

Almost surely, 2340040133213440 is an apocalyptic number.

It is an amenable number.

340040133213440 is an abundant number, since it is smaller than the sum of its proper divisors (549691100294656).

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

340040133213440 is a wasteful number, since it uses less digits than its factorization.

340040133213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32158676 (or 32158662 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 340040133213440 its reverse (44312331040043), we get a palindrome (384352464253483).

The spelling of 340040133213440 in words is "three hundred forty trillion, forty billion, one hundred thirty-three million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 751 880 1280 1408 1502 1760 2816 3004 3520 3755 6008 7040 7510 8261 12016 14080 15020 16522 24032 30040 33044 41305 48064 60080 66088 82610 96128 120160 132176 165220 192256 240320 264352 330440 480640 528704 660880 961280 1057408 1321760 2114816 2643520 5287040 10574080 32157893 64315786 128631572 160789465 257263144 321578930 353736823 514526288 643157860 707473646 1029052576 1286315720 1414947292 1768684115 2058105152 2572631440 2829894584 3537368230 4116210304 5145262880 5659789168 7074736460 8232420608 10290525760 11319578336 14149472920 20581051520 22639156672 24150577643 28298945840 41162103040 45278313344 48301155286 56597891680 90556626688 96602310572 113195783360 120752888215 193204621144 226391566720 241505776430 265656354073 386409242288 452783133440 483011552860 531312708146 772818484576 966023105720 1062625416292 1328281770365 1545636969152 1932046211440 2125250832584 2656563540730 3091273938304 3864092422880 4250501665168 5313127081460 6182547876608 7728184845760 8501003330336 10626254162920 15456369691520 17002006660672 21252508325840 30912739383040 34004013321344 42505016651680 68008026642688 85010033303360 170020066606720 340040133213440