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10000343203440 = 2435314132783711
BaseRepresentation
bin1001000110000110001011…
…1001110111111001110000
31022102000122010000210102220
42101201202321313321300
52302321200330002230
633134032205041040
72051333553463362
oct221414271677160
938360563023386
1010000343203440
113206138036927
121156172856180
1357704a2a1c95
1426803a94ad32
151251ea137d10
hex91862e77e70

10000343203440 has 160 divisors (see below), whose sum is σ = 32781613842432. Its totient is φ = 2517788928000.

The previous prime is 10000343203423. The next prime is 10000343203453. The reversal of 10000343203440 is 4430234300001.

10000343203440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10000343203440.

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, 16086816 + ... + 16696895.

Almost surely, 210000343203440 is an apocalyptic number.

10000343203440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000343203440 is an abundant number, since it is smaller than the sum of its proper divisors (22781270638992).

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

10000343203440 is a wasteful number, since it uses less digits than its factorization.

10000343203440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32783799 (or 32783793 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 10000343203440 its reverse (4430234300001), we get a palindrome (14430577503441).

The spelling of 10000343203440 in words is "ten trillion, three hundred forty-three million, two hundred three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 41 48 60 62 80 82 93 120 123 124 155 164 186 205 240 246 248 310 328 372 410 465 492 496 615 620 656 744 820 930 984 1230 1240 1271 1488 1640 1860 1968 2460 2480 2542 3280 3720 3813 4920 5084 6355 7440 7626 9840 10168 12710 15252 19065 20336 25420 30504 38130 50840 61008 76260 101680 152520 305040 32783711 65567422 98351133 131134844 163918555 196702266 262269688 327837110 393404532 491755665 524539376 655674220 786809064 983511330 1016295041 1311348440 1344132151 1573618128 1967022660 2032590082 2622696880 2688264302 3048885123 3934045320 4032396453 4065180164 5081475205 5376528604 6097770246 6720660755 7868090640 8064792906 8130360328 10162950410 10753057208 12195540492 13441321510 15244425615 16129585812 16260720656 20161982265 20325900820 21506114416 24391080984 26882643020 30488851230 32259171624 40323964530 40651801640 41668096681 48782161968 53765286040 60977702460 64518343248 80647929060 81303603280 83336193362 107530572080 121955404920 125004290043 161295858120 166672386724 208340483405 243910809840 250008580086 322591716240 333344773448 416680966810 500017160172 625021450215 666689546896 833361933620 1000034320344 1250042900430 1666723867240 2000068640688 2500085800860 3333447734480 5000171601720 10000343203440