Search a number
-
+
142384809948432 = 2434776498251253
BaseRepresentation
bin100000010111111110001100…
…000001001011010100010000
3200200010212002012220012010120
4200113332030001023110100
5122130313042321322212
61222454402332430240
741663651216264412
oct4027761401132420
9620125065805116
10142384809948432
11414060712848a7
1213b77168918380
13615aaa3583cbc
1427236667a69b2
15116db5055b88c
hex817f8c04b510

142384809948432 has 80 divisors (see below), whose sum is σ = 375702698131200. Its totient is φ = 46445703417856.

The previous prime is 142384809948427. The next prime is 142384809948463. The reversal of 142384809948432 is 234849908483241.

It is a super-2 number, since 2×1423848099484322 (a number of 29 digits) contains 22 as substring.

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, 13130518 + ... + 21381770.

It is an arithmetic number, because the mean of its divisors is an integer number (4696283726640).

Almost surely, 2142384809948432 is an apocalyptic number.

142384809948432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142384809948432 is an abundant number, since it is smaller than the sum of its proper divisors (233317888182768).

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

142384809948432 is a wasteful number, since it uses less digits than its factorization.

142384809948432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8258960 (or 8258954 counting only the distinct ones).

The product of its (nonzero) digits is 382205952, while the sum is 69.

The spelling of 142384809948432 in words is "one hundred forty-two trillion, three hundred eighty-four billion, eight hundred nine million, nine hundred forty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2256 7649 15298 22947 30596 45894 61192 91788 122384 183576 359503 367152 719006 1078509 1438012 2157018 2876024 4314036 5752048 8251253 8628072 16502506 17256144 24753759 33005012 49507518 66010024 99015036 132020048 198030072 387808891 396060144 775617782 1163426673 1551235564 2326853346 3102471128 4653706692 6204942256 9307413384 18614826768 63113834197 126227668394 189341502591 252455336788 378683005182 504910673576 757366010364 1009821347152 1514732020728 2966350207259 3029464041456 5932700414518 8899050621777 11865400829036 17798101243554 23730801658072 35596202487108 47461603316144 71192404974216 142384809948432