Search a number
-
+
340562416315440 = 243511971329906343
BaseRepresentation
bin100110101101111010101110…
…1110110010010110000110000
31122122211110010100101122210210
41031123311131312102300300
5324114233312034043230
63204152114134024120
7131506552104406344
oct11533653566226060
91578743110348723
10340562416315440
1199571789625660
12322433401a8040
1311804b8a056477
146015447893624
152958c23b0beb0
hex135bd5dd92c30

340562416315440 has 160 divisors (see below), whose sum is σ = 1163593576244736. Its totient is φ = 81709445652480.

The previous prime is 340562416315427. The next prime is 340562416315531. The reversal of 340562416315440 is 44513614265043.

It is a super-2 number, since 2×3405624163154402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 340562416315440.

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, 664697092 + ... + 665209251.

Almost surely, 2340562416315440 is an apocalyptic number.

340562416315440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340562416315440 is an abundant number, since it is smaller than the sum of its proper divisors (823031159929296).

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

340562416315440 is a wasteful number, since it uses less digits than its factorization.

340562416315440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329906467 (or 1329906461 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 340562416315440 in words is "three hundred forty trillion, five hundred sixty-two billion, four hundred sixteen million, three hundred fifteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 97 110 120 132 165 176 194 220 240 264 291 330 388 440 485 528 582 660 776 880 970 1067 1164 1320 1455 1552 1940 2134 2328 2640 2910 3201 3880 4268 4656 5335 5820 6402 7760 8536 10670 11640 12804 16005 17072 21340 23280 25608 32010 42680 51216 64020 85360 128040 256080 1329906343 2659812686 3989719029 5319625372 6649531715 7979438058 10639250744 13299063430 14628969773 15958876116 19948595145 21278501488 26598126860 29257939546 31917752232 39897190290 43886909319 53196253720 58515879092 63835504464 73144848865 79794380580 87773818638 106392507440 117031758184 129000915271 146289697730 159588761160 175547637276 219434546595 234063516368 258001830542 292579395460 319177522320 351095274552 387002745813 438869093190 516003661084 585158790920 645004576355 702190549104 774005491626 877738186380 1032007322168 1170317581840 1290009152710 1419010067981 1548010983252 1755476372760 1935013729065 2064014644336 2580018305420 2838020135962 3096021966504 3510952745520 3870027458130 4257030203943 5160036610840 5676040271924 6192043933008 7095050339905 7740054916260 8514060407886 10320073221680 11352080543848 14190100679810 15480109832520 17028120815772 21285151019715 22704161087696 28380201359620 30960219665040 34056241631544 42570302039430 56760402719240 68112483263088 85140604078860 113520805438480 170281208157720 340562416315440