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340550511561240 = 233510740076619073
BaseRepresentation
bin100110101101110101001100…
…0010001010000101000011000
31122122210022101200111111010120
41031123222120101100220120
5324114034421424424430
63204142424545513240
7131505651100564221
oct11533523021205030
91578708350444116
10340550511561240
119956772a708622
1232240b79342820
1311803a1085c506
146014a3878a248
152958778902610
hex135ba98450a18

340550511561240 has 128 divisors (see below), whose sum is σ = 1031457185256960. Its totient is φ = 89942280249344.

The previous prime is 340550511561163. The next prime is 340550511561259. The reversal of 340550511561240 is 42165115055043.

It is a junction number, because it is equal to n+sod(n) for n = 340550511561192 and 340550511561201.

It is a congruent number.

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, 48140344 + ... + 54759416.

It is an arithmetic number, because the mean of its divisors is an integer number (8058259259820).

Almost surely, 2340550511561240 is an apocalyptic number.

340550511561240 is a gapful number since it is divisible by the number (30) 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 340550511561240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515728592628480).

340550511561240 is an abundant number, since it is smaller than the sum of its proper divisors (690906673695720).

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

340550511561240 is a wasteful number, since it uses less digits than its factorization.

340550511561240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6623201 (or 6623197 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 42.

The spelling of 340550511561240 in words is "three hundred forty trillion, five hundred fifty billion, five hundred eleven million, five hundred sixty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 1070 1284 1605 2140 2568 3210 4007 4280 6420 8014 12021 12840 16028 20035 24042 32056 40070 48084 60105 80140 96168 120210 160280 240420 428749 480840 857498 1286247 1714996 2143745 2572494 3429992 4287490 5144988 6431235 6619073 8574980 10289976 12862470 13238146 17149960 19857219 25724940 26476292 33095365 39714438 51449880 52952584 66190730 79428876 99286095 132381460 158857752 198572190 264762920 397144380 708240811 794288760 1416481622 2124722433 2832963244 3541204055 4249444866 5665926488 7082408110 8498889732 10623612165 14164816220 16997779464 21247224330 26522625511 28329632440 42494448660 53045251022 79567876533 84988897320 106090502044 132613127555 159135753066 212181004088 265226255110 318271506132 397839382665 530452510220 636543012264 795678765330 1060905020440 1591357530660 2837920929677 3182715061320 5675841859354 8513762789031 11351683718708 14189604648385 17027525578062 22703367437416 28379209296770 34055051156124 42568813945155 56758418593540 68110102312248 85137627890310 113516837187080 170275255780620 340550511561240