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140051021424 = 2436147999967
BaseRepresentation
bin1000001001101110110…
…0001111111001110000
3111101111101201000222120
42002123230033321300
54243311030141144
6144201043234240
713055411016546
oct2023354177160
9441441630876
10140051021424
1154439172306
1223186978980
131028c3172a2
146ac830dd96
15399a44de19
hex209bb0fe70

140051021424 has 80 divisors (see below), whose sum is σ = 367843123200. Its totient is φ = 45904193280.

The previous prime is 140051021401. The next prime is 140051021503. The reversal of 140051021424 is 424120150041.

140051021424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1400510214242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 140051021394 and 140051021403.

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, 14046489 + ... + 14056455.

It is an arithmetic number, because the mean of its divisors is an integer number (4598039040).

Almost surely, 2140051021424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140051021424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183921561600).

140051021424 is an abundant number, since it is smaller than the sum of its proper divisors (227792101776).

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

140051021424 is a wasteful number, since it uses less digits than its factorization.

140051021424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14838 (or 14832 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 140051021424 its reverse (424120150041), we get a palindrome (564171171465).

The spelling of 140051021424 in words is "one hundred forty billion, fifty-one million, twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 488 732 976 1464 2928 4799 9598 9967 14397 19196 19934 28794 29901 38392 39868 57588 59802 76784 79736 115176 119604 159472 230352 239208 292739 478416 585478 607987 878217 1170956 1215974 1756434 1823961 2341912 2431948 3512868 3647922 4683824 4863896 7025736 7295844 9727792 14051472 14591688 29183376 47831633 95663266 143494899 191326532 286989798 382653064 573979596 765306128 1147959192 2295918384 2917729613 5835459226 8753188839 11670918452 17506377678 23341836904 35012755356 46683673808 70025510712 140051021424