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14071000950 = 23252236592063
BaseRepresentation
bin11010001101011001…
…00110111101110110
31100022122001220120100
431012230212331312
5212304134012300
610244130214530
71005456351246
oct150654467566
940278056510
1014071000950
115a70793306
122888424446
13143323b186
14976ab9b26
155754aa700
hex346b26f76

14071000950 has 144 divisors (see below), whose sum is σ = 39526755840. Its totient is φ = 3581941440.

The previous prime is 14071000949. The next prime is 14071000961. The reversal of 14071000950 is 5900017041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6819619 + ... + 6821681.

It is an arithmetic number, because the mean of its divisors is an integer number (274491360).

Almost surely, 214071000950 is an apocalyptic number.

14071000950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14071000950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19763377920).

14071000950 is an abundant number, since it is smaller than the sum of its proper divisors (25455754890).

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

14071000950 is a wasteful number, since it uses less digits than its factorization.

14071000950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2763 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

Adding to 14071000950 its reverse (5900017041), we get a palindrome (19971017991).

The spelling of 14071000950 in words is "fourteen billion, seventy-one million, nine hundred fifty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 45 46 50 69 75 90 115 138 150 207 225 230 345 414 450 575 659 690 1035 1150 1318 1725 1977 2063 2070 3295 3450 3954 4126 5175 5931 6189 6590 9885 10315 10350 11862 12378 15157 16475 18567 19770 20630 29655 30314 30945 32950 37134 45471 47449 49425 51575 59310 61890 75785 90942 92835 94898 98850 103150 136413 142347 148275 151570 154725 185670 227355 237245 272826 284694 296550 309450 378925 427041 454710 464175 474490 682065 711735 757850 854082 928350 1136775 1186225 1359517 1364130 1423470 2135205 2273550 2372450 2719034 3410325 3558675 4078551 4270410 6797585 6820650 7117350 8157102 10676025 12235653 13595170 20392755 21352050 24471306 31268891 33987925 40785510 61178265 62537782 67975850 93806673 101963775 122356530 156344455 187613346 203927550 281420019 305891325 312688910 469033365 562840038 611782650 781722275 938066730 1407100095 1563444550 2345166825 2814200190 4690333650 7035500475 14071000950