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142748872816 = 24116117597559
BaseRepresentation
bin1000010011110001111…
…1101111000001110000
3111122110102012002100111
42010330133233001300
54314322202412231
6145324455431104
713212310253524
oct2047437570160
9448412162314
10142748872816
11555a3020a60
12237ba385494
13105cc22aa64
146ca2743d84
153aa720c4b1
hex213c7ef070

142748872816 has 80 divisors (see below), whose sum is σ = 306880358400. Its totient is φ = 63777427200.

The previous prime is 142748872769. The next prime is 142748872829. The reversal of 142748872816 is 618278847241.

It is a happy number.

142748872816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18880845 + ... + 18888403.

It is an arithmetic number, because the mean of its divisors is an integer number (3836004480).

Almost surely, 2142748872816 is an apocalyptic number.

142748872816 is a gapful number since it is divisible by the number (16) 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 142748872816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153440179200).

142748872816 is an abundant number, since it is smaller than the sum of its proper divisors (164131485584).

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

142748872816 is a wasteful number, since it uses less digits than its factorization.

142748872816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9398 (or 9392 counting only the distinct ones).

The product of its digits is 9633792, while the sum is 58.

The spelling of 142748872816 in words is "one hundred forty-two billion, seven hundred forty-eight million, eight hundred seventy-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 61 88 122 176 244 488 671 976 1342 1759 2684 3518 5368 7036 7559 10736 14072 15118 19349 28144 30236 38698 60472 77396 83149 107299 120944 154792 166298 214598 309584 332596 429196 461099 665192 858392 922198 1180289 1330384 1716784 1844396 2360578 3688792 4721156 5072089 7377584 9442312 10144178 13296281 18884624 20288356 26592562 40576712 53185124 81153424 106370248 146259091 212740496 292518182 585036364 811073141 1170072728 1622146282 2340145456 3244292564 6488585128 8921804551 12977170256 17843609102 35687218204 71374436408 142748872816