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14122503582144 = 263178352129487
BaseRepresentation
bin1100110110000010011011…
…0011110011000111000000
31212000002122120000201022120
43031200212303303013000
53322340341404112034
650011442200004240
72655213542541216
oct315404663630700
955002576021276
1014122503582144
114555358110061
121701051a60680
137b5991a23069
1436b7660b8cb6
1519755aa8ac49
hexcd826cf31c0

14122503582144 has 112 divisors (see below), whose sum is σ = 40040451214848. Its totient is φ = 4377208680448.

The previous prime is 14122503582119. The next prime is 14122503582151. The reversal of 14122503582144 is 44128530522141.

It is a super-2 number, since 2×141225035821442 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14122503582096 and 14122503582105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25793832 + ... + 26335655.

It is an arithmetic number, because the mean of its divisors is an integer number (357504028704).

Almost surely, 214122503582144 is an apocalyptic number.

It is an amenable number.

14122503582144 is an abundant number, since it is smaller than the sum of its proper divisors (25917947632704).

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

14122503582144 is a wasteful number, since it uses less digits than its factorization.

14122503582144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52129602 (or 52129592 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The spelling of 14122503582144 in words is "fourteen trillion, one hundred twenty-two billion, five hundred three million, five hundred eighty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 83 96 102 136 166 192 204 249 272 332 408 498 544 664 816 996 1088 1328 1411 1632 1992 2656 2822 3264 3984 4233 5312 5644 7968 8466 11288 15936 16932 22576 33864 45152 67728 90304 135456 270912 52129487 104258974 156388461 208517948 312776922 417035896 625553844 834071792 886201279 1251107688 1668143584 1772402558 2502215376 2658603837 3336287168 3544805116 4326747421 5004430752 5317207674 7089610232 8653494842 10008861504 10634415348 12980242263 14179220464 17306989684 21268830696 25960484526 28358440928 34613979368 42537661392 51920969052 56716881856 69227958736 73554706157 85075322784 103841938104 138455917472 147109412314 170150645568 207683876208 220664118471 276911834944 294218824628 415367752416 441328236942 588437649256 830735504832 882656473884 1176875298512 1765312947768 2353750597024 3530625895536 4707501194048 7061251791072 14122503582144