Search a number
-
+
141205512513440 = 2552354317065193
BaseRepresentation
bin100000000110110011111000…
…011010011110011110100000
3200111222010002221201100102002
4200012303320122132132200
5122002002342200412230
61220152530015543132
741512522143421634
oct4006637032363640
9614863087640362
10141205512513440
1140aa0a15659271
1213a066a852aaa8
1360a38130a097b
1426c25519a8dc4
15114d12d119545
hex806cf869e7a0

141205512513440 has 96 divisors (see below), whose sum is σ = 348166429906176. Its totient is φ = 54016501524480.

The previous prime is 141205512513341. The next prime is 141205512513467. The reversal of 141205512513440 is 44315215502141.

It is a junction number, because it is equal to n+sod(n) for n = 141205512513394 and 141205512513403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16453484 + ... + 23518676.

It is an arithmetic number, because the mean of its divisors is an integer number (3626733644856).

Almost surely, 2141205512513440 is an apocalyptic number.

141205512513440 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 141205512513440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174083214953088).

141205512513440 is an abundant number, since it is smaller than the sum of its proper divisors (206960917392736).

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

141205512513440 is a wasteful number, since it uses less digits than its factorization.

141205512513440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7070662 (or 7070654 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 38.

The spelling of 141205512513440 in words is "one hundred forty-one trillion, two hundred five billion, five hundred twelve million, five hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 5431 10862 21724 27155 43448 54310 86896 108620 124913 173792 217240 249826 434480 499652 624565 868960 999304 1249130 1998608 2498260 3997216 4996520 7065193 9993040 14130386 19986080 28260772 35325965 56521544 70651930 113043088 141303860 162499439 226086176 282607720 324998878 565215440 649997756 812497195 1130430880 1299995512 1624994390 2599991024 3249988780 5199982048 6499977560 12999955120 25999910240 38371063183 76742126366 153484252732 191855315915 306968505464 383710631830 613937010928 767421263660 882534453209 1227874021856 1534842527320 1765068906418 3069685054640 3530137812836 4412672266045 6139370109280 7060275625672 8825344532090 14120551251344 17650689064180 28241102502688 35301378128360 70602756256720 141205512513440