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14100034014066 = 23711134874820653
BaseRepresentation
bin1100110100101110101110…
…0001001100101101110010
31211220221122121120101112110
43031023223201030231302
53322003332201422231
645553244411110150
72653456662423330
oct315135341145562
954827577511473
1014100034014066
114546877682a90
1216b8820a42356
137b3820812750
1436a633c24b50
15196b93106046
hexcd2eb84cb72

14100034014066 has 128 divisors (see below), whose sum is σ = 37940783763456. Its totient is φ = 3373685095680.

The previous prime is 14100034014047. The next prime is 14100034014103. The reversal of 14100034014066 is 66041043000141.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 514596 + ... + 5335248.

It is an arithmetic number, because the mean of its divisors is an integer number (296412373152).

Almost surely, 214100034014066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14100034014066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18970391881728).

14100034014066 is an abundant number, since it is smaller than the sum of its proper divisors (23840749749390).

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

14100034014066 is a wasteful number, since it uses less digits than its factorization.

14100034014066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4821176.

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 14100034014066 in words is "fourteen trillion, one hundred billion, thirty-four million, fourteen thousand, sixty-six".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 487 546 858 974 1001 1461 2002 2922 3003 3409 5357 6006 6331 6818 10227 10714 12662 16071 18993 20454 32142 37499 37986 44317 69641 74998 88634 112497 132951 139282 208923 224994 265902 417846 487487 974974 1462461 2924922 4820653 9641306 14461959 28923918 33744571 53027183 62668489 67489142 101233713 106054366 125336978 159081549 188005467 202467426 318163098 371190281 376010934 438679423 689353379 742380562 877358846 1113570843 1316038269 1378706758 2068060137 2227141686 2347658011 2632076538 4136120274 4695316022 4825473653 7042974033 9650947306 14085948066 14476420959 16433606077 25824238121 28952841918 30519554143 32867212154 49300818231 51648476242 61039108286 77472714363 91558662429 98601636462 154945428726 180769666847 183117324858 213636879001 335715095573 361539333694 427273758002 542309000541 640910637003 671430191146 1007145286719 1084618001082 1281821274006 2014290573438 2350005669011 4700011338022 7050017007033 14100034014066