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14032021120 = 275137872143
BaseRepresentation
bin11010001000101111…
…11010011010000000
31100012220201112021221
431010113322122000
5212214144133440
610240214524424
71004504132365
oct150427723200
940186645257
1014032021120
115a5078a177
122877366714
131428140aa0
1497185046c
15571d5ad4a
hex3445fa680

14032021120 has 128 divisors (see below), whose sum is σ = 36188490240. Its totient is φ = 5172056064.

The previous prime is 14032021099. The next prime is 14032021121. The reversal of 14032021120 is 2112023041.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 14032021094 and 14032021103.

It is not an unprimeable number, because it can be changed into a prime (14032021121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6546769 + ... + 6548911.

It is an arithmetic number, because the mean of its divisors is an integer number (282722580).

Almost surely, 214032021120 is an apocalyptic number.

14032021120 is a gapful number since it is divisible by the number (10) 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 14032021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18094245120).

14032021120 is an abundant number, since it is smaller than the sum of its proper divisors (22156469120).

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

14032021120 is a wasteful number, since it uses less digits than its factorization.

14032021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 14032021120 its reverse (2112023041), we get a palindrome (16144044161).

The spelling of 14032021120 in words is "fourteen billion, thirty-two million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 787 832 1040 1574 1664 2080 2143 3148 3935 4160 4286 6296 7870 8320 8572 10231 10715 12592 15740 17144 20462 21430 25184 27859 31480 34288 40924 42860 50368 51155 55718 62960 68576 81848 85720 100736 102310 111436 125920 137152 139295 163696 171440 204620 222872 251840 274304 278590 327392 342880 409240 445744 503680 557180 654784 685760 818480 891488 1114360 1309568 1371520 1636960 1686541 1782976 2228720 3273920 3373082 3565952 4457440 6547840 6746164 8432705 8914880 13492328 16865410 17829760 21925033 26984656 33730820 43850066 53969312 67461640 87700132 107938624 109625165 134923280 175400264 215877248 219250330 269846560 350800528 438500660 539693120 701601056 877001320 1079386240 1403202112 1754002640 2806404224 3508005280 7016010560 14032021120