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14060494152 = 23321983123833
BaseRepresentation
bin11010001100001001…
…00001110101001000
31100021220022002221200
431012010201311020
5212243441303102
610243113104200
71005301141215
oct150604416510
940256262850
1014060494152
115a65867401
1228849b8060
131430ccca33
14975542b0c
155745d251c
hex346121d48

14060494152 has 96 divisors (see below), whose sum is σ = 40568018400. Its totient is φ = 4386624768.

The previous prime is 14060494141. The next prime is 14060494163. The reversal of 14060494152 is 25149406041.

14060494152 is a `hidden beast` number, since 1 + 4 + 0 + 604 + 9 + 41 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (14060494141) and next prime (14060494163).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51628 + ... + 175460.

It is an arithmetic number, because the mean of its divisors is an integer number (422583525).

Almost surely, 214060494152 is an apocalyptic number.

14060494152 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 14060494152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20284009200).

14060494152 is an abundant number, since it is smaller than the sum of its proper divisors (26507524248).

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

14060494152 is a wasteful number, since it uses less digits than its factorization.

14060494152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123947 (or 123940 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 14060494152 in words is "fourteen billion, sixty million, four hundred ninety-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 83 114 152 166 171 228 249 332 342 456 498 664 684 747 996 1368 1494 1577 1992 2988 3154 4731 5976 6308 9462 12616 14193 18924 28386 37848 56772 113544 123833 247666 371499 495332 742998 990664 1114497 1485996 2228994 2352827 2971992 4457988 4705654 7058481 8915976 9411308 10278139 14116962 18822616 20556278 21175443 28233924 30834417 41112556 42350886 56467848 61668834 82225112 84701772 92503251 123337668 169403544 185006502 195284641 246675336 370013004 390569282 585853923 740026008 781138564 1171707846 1562277128 1757561769 2343415692 3515123538 4686831384 7030247076 14060494152