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1340343202224 = 2431337199291727
BaseRepresentation
bin10011100000010010101…
…011100011000110110000
311202010122211012110200010
4103200102223203012300
5133430010324432344
62503424542254520
7165556645144635
oct23402253430660
94663584173603
101340343202224
11477488882134
12197926287440
13995172c2a30
1448c3157418c
1524ceab018b9
hex13812ae31b0

1340343202224 has 160 divisors (see below), whose sum is σ = 3848942540800. Its totient is φ = 399249202176.

The previous prime is 1340343202217. The next prime is 1340343202249. The reversal of 1340343202224 is 4222023430431.

It is a junction number, because it is equal to n+sod(n) for n = 1340343202191 and 1340343202200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4448649 + ... + 4740375.

It is an arithmetic number, because the mean of its divisors is an integer number (24055890880).

Almost surely, 21340343202224 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 1340343202224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924471270400).

1340343202224 is an abundant number, since it is smaller than the sum of its proper divisors (2508599338576).

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

1340343202224 is a wasteful number, since it uses less digits than its factorization.

1340343202224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291987 (or 291981 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 1340343202224 its reverse (4222023430431), we get a palindrome (5562366632655).

The spelling of 1340343202224 in words is "one trillion, three hundred forty billion, three hundred forty-three million, two hundred two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 37 39 48 52 74 78 104 111 148 156 199 208 222 296 312 398 444 481 592 597 624 796 888 962 1194 1443 1592 1776 1924 2388 2587 2886 3184 3848 4776 5174 5772 7363 7696 7761 9552 10348 11544 14726 15522 20696 22089 23088 29452 31044 41392 44178 58904 62088 88356 95719 117808 124176 176712 191438 287157 291727 353424 382876 574314 583454 765752 875181 1148628 1166908 1531504 1750362 2297256 2333816 3500724 3792451 4594512 4667632 7001448 7584902 10793899 11377353 14002896 15169804 21587798 22754706 30339608 32381697 43175596 45509412 58053673 60679216 64763394 86351192 91018824 116107346 129526788 140320687 172702384 174161019 182037648 232214692 259053576 280641374 348322038 420962061 464429384 518107152 561282748 696644076 754697749 841924122 928858768 1122565496 1393288152 1509395498 1683848244 2147985901 2245130992 2264093247 2786576304 3018790996 3367696488 4295971802 4528186494 6037581992 6443957703 6735392976 8591943604 9056372988 12075163984 12887915406 17183887208 18112745976 25775830812 27923816713 34367774416 36225491952 51551661624 55847633426 83771450139 103103323248 111695266852 167542900278 223390533704 335085800556 446781067408 670171601112 1340343202224