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140030131000 = 23533119922699
BaseRepresentation
bin1000001001101001110…
…0100011101100111000
3111101102221101200201011
42002122130203230320
54243240203143000
6144155015403304
713055035321534
oct2023234435470
9441387350634
10140030131000
11544283a3aa1
122317b983534
1310287bb17a6
146ac5632bc4
1539986c42ba
hex209a723b38

140030131000 has 128 divisors (see below), whose sum is σ = 339955200000. Its totient is φ = 53930448000.

The previous prime is 140030130997. The next prime is 140030131049. The reversal of 140030131000 is 131030041.

It is a super-2 number, since 2×1400301310002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6157651 + ... + 6180349.

It is an arithmetic number, because the mean of its divisors is an integer number (2655900000).

Almost surely, 2140030131000 is an apocalyptic number.

140030131000 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 140030131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169977600000).

140030131000 is an abundant number, since it is smaller than the sum of its proper divisors (199925069000).

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

140030131000 is a wasteful number, since it uses less digits than its factorization.

140030131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22950 (or 22936 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 140030131000 its reverse (131030041), we get a palindrome (140161161041).

The spelling of 140030131000 in words is "one hundred forty billion, thirty million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 199 200 248 250 310 398 500 620 775 796 995 1000 1240 1550 1592 1990 3100 3875 3980 4975 6169 6200 7750 7960 9950 12338 15500 19900 22699 24676 24875 30845 31000 39800 45398 49352 49750 61690 90796 99500 113495 123380 154225 181592 199000 226990 246760 308450 453980 567475 616900 703669 771125 907960 1134950 1233800 1407338 1542250 2269900 2814676 2837375 3084500 3518345 4517101 4539800 5629352 5674750 6169000 7036690 9034202 11349500 14073380 17591725 18068404 22585505 22699000 28146760 35183450 36136808 45171010 70366900 87958625 90342020 112927525 140030131 140733800 175917250 180684040 225855050 280060262 351834500 451710100 560120524 564637625 700150655 703669000 903420200 1120241048 1129275250 1400301310 2258550500 2800602620 3500753275 4517101000 5601205240 7001506550 14003013100 17503766375 28006026200 35007532750 70015065500 140030131000