Search a number
-
+
140043416432 = 241961107163433
BaseRepresentation
bin1000001001101100111…
…1001111001101110000
3111101110212101122220012
42002123033033031300
54243302103311212
6144200212234052
713055256253553
oct2023317171560
9441425348805
10140043416432
1154434948597
122318430b928
131028a8838aa
146ac72d069a
15399994a922
hex209b3cf370

140043416432 has 160 divisors (see below), whose sum is σ = 295488587520. Its totient is φ = 64094146560.

The previous prime is 140043416419. The next prime is 140043416479. The reversal of 140043416432 is 234614340041.

140043416432 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-3 number, since 3×1400434164323 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 31 ways as a sum of consecutive naturals, for example, 323425688 + ... + 323426120.

It is an arithmetic number, because the mean of its divisors is an integer number (1846803672).

Almost surely, 2140043416432 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 140043416432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147744293760).

140043416432 is an abundant number, since it is smaller than the sum of its proper divisors (155445171088).

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

140043416432 is a wasteful number, since it uses less digits than its factorization.

140043416432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 140043416432 its reverse (234614340041), we get a palindrome (374657756473).

The spelling of 140043416432 in words is "one hundred forty billion, forty-three million, four hundred sixteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 38 61 76 107 122 152 163 214 244 304 326 428 433 488 652 856 866 976 1159 1304 1712 1732 2033 2318 2608 3097 3464 4066 4636 6194 6527 6928 8132 8227 9272 9943 12388 13054 16264 16454 17441 18544 19886 24776 26108 26413 32528 32908 34882 39772 46331 49552 52216 52826 65816 69764 70579 79544 92662 104432 105652 124013 131632 139528 141158 159088 185324 188917 211304 248026 279056 282316 331379 370648 377834 422608 496052 501847 564632 662758 741296 755668 880289 992104 1003694 1063901 1129264 1325516 1341001 1511336 1760578 1984208 2007388 2127802 2651032 2682002 2826191 3022672 3521156 4014776 4255604 4305319 5302064 5364004 5652382 7042312 7551953 8029552 8511208 8610638 10728008 11304764 14084624 15103906 17022416 17221276 20214119 21456016 22609528 30207812 34442552 40428238 45219056 53697629 60415624 68885104 80856476 81801061 107395258 120831248 143487107 161712952 163602122 214790516 286974214 323425904 327204244 429581032 460669133 573948428 654408488 859162064 921338266 1147896856 1308816976 1842676532 2295793712 3685353064 7370706128 8752713527 17505427054 35010854108 70021708216 140043416432