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340240241401340 = 225716336434092709
BaseRepresentation
bin100110101011100100101101…
…0101110100001110111111100
31122121200122112102110021112212
41031113021122232201313330
5324043444003244320330
63203344113055315552
7131444355235001450
oct11527113256416774
91577618472407485
10340240241401340
1199458092254175
12321b0a0851bbb8
13117b0695092917
146003a0367c660
1529506697bd295
hex135725aba1dfc

340240241401340 has 96 divisors (see below), whose sum is σ = 821811977064960. Its totient is φ = 115906276359936.

The previous prime is 340240241401301. The next prime is 340240241401351. The reversal of 340240241401340 is 43104142042043.

It is a junction number, because it is equal to n+sod(n) for n = 340240241401297 and 340240241401306.

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, 81086906 + ... + 85179614.

It is an arithmetic number, because the mean of its divisors is an integer number (8560541427760).

Almost surely, 2340240241401340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340240241401340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410905988532480).

340240241401340 is an abundant number, since it is smaller than the sum of its proper divisors (481571735663620).

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

340240241401340 is a wasteful number, since it uses less digits than its factorization.

340240241401340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4096531 (or 4096529 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 340240241401340 its reverse (43104142042043), we get a palindrome (383344383443383).

The spelling of 340240241401340 in words is "three hundred forty trillion, two hundred forty billion, two hundred forty-one million, four hundred one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 163 326 652 815 1141 1630 2282 3260 3643 4564 5705 7286 11410 14572 18215 22820 25501 36430 51002 72860 102004 127505 255010 510020 593809 1187618 2375236 2969045 4092709 4156663 5938090 8185418 8313326 11876180 16370836 16626652 20463545 20783315 28648963 40927090 41566630 57297926 81854180 83133260 114595852 143244815 286489630 572979260 667111567 1334223134 2668446268 3335557835 4669780969 6671115670 9339561938 13342231340 14909738887 18679123876 23348904845 29819477774 46697809690 59638955548 74548694435 93395619380 104368172209 149097388870 208736344418 298194777740 417472688836 521840861045 1043681722090 2087363444180 2430287438581 4860574877162 9721149754324 12151437192905 17012012070067 24302874385810 34024024140134 48605748771620 68048048280268 85060060350335 170120120700670 340240241401340