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340211414040440 = 235293141230751929
BaseRepresentation
bin100110101011010111010010…
…0011110110111111101111000
31122121120220010101200121121112
41031112232210132313331320
5324043010433443243230
63203322544353055452
7131442314664323465
oct11526564436677570
91577526111617545
10340211414040440
1199446939a29268
12321a7302257588
13117aaa4c932317
14600246ac8066c
15294ea2dac7d95
hex1356ba47b7f78

340211414040440 has 128 divisors (see below), whose sum is σ = 837352603584000. Its totient is φ = 124052236492800.

The previous prime is 340211414040307. The next prime is 340211414040451. The reversal of 340211414040440 is 44040414112043.

It is a junction number, because it is equal to n+sod(n) for n = 340211414040397 and 340211414040406.

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, 113901605 + ... + 116850324.

It is an arithmetic number, because the mean of its divisors is an integer number (6541817215500).

Almost surely, 2340211414040440 is an apocalyptic number.

It is an amenable number.

340211414040440 is an abundant number, since it is smaller than the sum of its proper divisors (497141189543560).

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

340211414040440 is a wasteful number, since it uses less digits than its factorization.

340211414040440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230752041 (or 230752037 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 340211414040440 its reverse (44040414112043), we get a palindrome (384251828152483).

The spelling of 340211414040440 in words is "three hundred forty trillion, two hundred eleven billion, four hundred fourteen million, forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 31 40 41 58 62 82 116 124 145 155 164 205 232 248 290 310 328 410 580 620 820 899 1160 1189 1240 1271 1640 1798 2378 2542 3596 4495 4756 5084 5945 6355 7192 8990 9512 10168 11890 12710 17980 23780 25420 35960 36859 47560 50840 73718 147436 184295 294872 368590 737180 1474360 230751929 461503858 923007716 1153759645 1846015432 2307519290 4615038580 6691805941 7153309799 9230077160 9460829089 13383611882 14306619598 18921658178 26767223764 28613239196 33459029705 35766548995 37843316356 47304145445 53534447528 57226478392 66918059410 71533097990 75686632712 94608290890 133836118820 143066195980 189216581780 207445984171 267672237640 274364043581 286132391960 293285701759 378433163560 414891968342 548728087162 586571403518 829783936684 1037229920855 1097456174324 1173142807036 1371820217905 1466428508795 1659567873368 2074459841710 2194912348648 2346285614072 2743640435810 2932857017590 4148919683420 5487280871620 5865714035180 8297839366840 8505285351011 10974561743240 11731428070360 17010570702022 34021141404044 42526426755055 68042282808088 85052853510110 170105707020220 340211414040440