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2340252256122 = 234113171596671
BaseRepresentation
bin100010000011100001111…
…001111000011101111010
322021201121012111100120000
4202003201321320131322
5301320314034143442
64551032543413430
7331035426650664
oct42034171703572
98251535440500
102340252256122
1182254a42a960
123196818b4276
1313c8b9797ac1
14813a98a5534
1540d1e3a0d4c
hex220e1e7877a

2340252256122 has 160 divisors (see below), whose sum is σ = 5988333846528. Its totient is φ = 676623780000.

The previous prime is 2340252256081. The next prime is 2340252256171. The reversal of 2340252256122 is 2216522520432.

2340252256122 is a `hidden beast` number, since 2 + 3 + 4 + 0 + 2 + 522 + 5 + 6 + 122 = 666.

2340252256122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×23402522561222 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3623847 + ... + 4220517.

Almost surely, 22340252256122 is an apocalyptic number.

2340252256122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2340252256122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2994166923264).

2340252256122 is an abundant number, since it is smaller than the sum of its proper divisors (3648081590406).

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

2340252256122 is a wasteful number, since it uses less digits than its factorization.

2340252256122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596798 (or 596789 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 2340252256122 its reverse (2216522520432), we get a palindrome (4556774776554).

The spelling of 2340252256122 in words is "two trillion, three hundred forty billion, two hundred fifty-two million, two hundred fifty-six thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 71 81 93 99 142 162 186 198 213 279 297 341 426 558 594 639 682 781 837 891 1023 1278 1562 1674 1782 1917 2046 2201 2343 2511 3069 3834 4402 4686 5022 5751 6138 6603 7029 9207 11502 13206 14058 18414 19809 21087 24211 27621 39618 42174 48422 55242 59427 63261 72633 118854 126522 145266 178281 217899 356562 435798 596671 653697 1193342 1307394 1790013 1961091 3580026 3922182 5370039 6563381 10740078 13126762 16110117 18496801 19690143 32220234 36993602 39380286 42363641 48330351 55490403 59070429 84727282 96660702 110980806 118140858 127090923 166471209 177211287 203464811 254181846 332942418 354422574 381272769 406929622 466000051 499413627 531633861 610394433 762545538 932000102 998827254 1063267722 1143818307 1220788866 1313272871 1398000153 1498240881 1831183299 2287636614 2626545742 2796000306 2996481762 3431454921 3662366598 3939818613 4194000459 5493549897 6862909842 7879637226 8388000918 10987099794 11819455839 12582001377 14446001581 16480649691 23638911678 25164002754 28892003162 32961299382 35458367517 37746004131 43338004743 70916735034 75492008262 86676009486 106375102551 130014014229 212750205102 260028028458 390042042687 780084085374 1170126128061 2340252256122