Search a number
-
+
14112161157852 = 2233312283480463
BaseRepresentation
bin1100110101011011111001…
…0110100101001011011100
31211222002221202221010101000
43031112332112211023130
53322203201224022402
650003012021550300
72654366336433552
oct315267626451334
954862852833330
1014112161157852
114550a3008566a
1216bb046275390
137b4a04102984
1436b06469bbd2
15197152addc1c
hexcd5be5a52dc

14112161157852 has 144 divisors (see below), whose sum is σ = 37939051799040. Its totient is φ = 4536214708320.

The previous prime is 14112161157817. The next prime is 14112161157907. The reversal of 14112161157852 is 25875116121141.

14112161157852 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 2 + 16 + 11 + 578 + 52 = 666.

It is a super-2 number, since 2×141121611578522 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14112161157798 and 14112161157807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29131773 + ... + 29612235.

Almost surely, 214112161157852 is an apocalyptic number.

14112161157852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14112161157852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18969525899520).

14112161157852 is an abundant number, since it is smaller than the sum of its proper divisors (23826890641188).

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

14112161157852 is a wasteful number, since it uses less digits than its factorization.

14112161157852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480821 (or 480782 counting only the distinct ones).

The product of its digits is 134400, while the sum is 45.

Adding to 14112161157852 its reverse (25875116121141), we get a palindrome (39987277278993).

The spelling of 14112161157852 in words is "fourteen trillion, one hundred twelve billion, one hundred sixty-one million, one hundred fifty-seven thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 283 372 558 566 837 849 961 1116 1132 1674 1698 1922 2547 2883 3348 3396 3844 5094 5766 7641 8649 8773 10188 11532 15282 17298 17546 25947 26319 30564 34596 35092 51894 52638 78957 103788 105276 157914 236871 271963 315828 473742 480463 543926 815889 947484 960926 1087852 1441389 1631778 1921852 2447667 2882778 3263556 4324167 4895334 5765556 7343001 8648334 9790668 12972501 14686002 14894353 17296668 25945002 29372004 29788706 44683059 51890004 59577412 89366118 134049177 135971029 178732236 268098354 271942058 402147531 407913087 461724943 536196708 543884116 804295062 815826174 923449886 1223739261 1385174829 1608590124 1631652348 1846899772 2447478522 2770349658 3671217783 4155524487 4215101899 4894957044 5540699316 7342435566 8311048974 8430203798 12466573461 12645305697 14684871132 16622097948 16860407596 24933146922 25290611394 37935917091 49866293844 50581222788 75871834182 113807751273 130668158869 151743668364 227615502546 261336317738 392004476607 455231005092 522672635476 784008953214 1176013429821 1568017906428 2352026859642 3528040289463 4704053719284 7056080578926 14112161157852