Search a number
-
+
143868280722972 = 2231316714873713753
BaseRepresentation
bin100000101101100011110001…
…110001000101011000011100
3200212101200011211212200012120
4200231203301301011120130
5122324114214331113342
61225552101543502540
742206066053644321
oct4055436161053034
9625350154780176
10143868280722972
1141928216914483
1214176778157a50
13623794a398a10
142775394a9cb48
151197526722aec
hex82d8f1c4561c

143868280722972 has 96 divisors (see below), whose sum is σ = 363924599334912. Its totient is φ = 43972487440896.

The previous prime is 143868280722923. The next prime is 143868280722979. The reversal of 143868280722972 is 279227082868341.

143868280722972 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1438682807229723 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 143868280722897 and 143868280722906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (143868280722979) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36882448 + ... + 40596200.

It is an arithmetic number, because the mean of its divisors is an integer number (3790881243072).

Almost surely, 2143868280722972 is an apocalyptic number.

143868280722972 is a gapful number since it is divisible by the number (12) 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 143868280722972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181962299667456).

143868280722972 is an abundant number, since it is smaller than the sum of its proper divisors (220056318611940).

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

143868280722972 is a wasteful number, since it uses less digits than its factorization.

143868280722972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3715427 (or 3715425 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 69.

The spelling of 143868280722972 in words is "one hundred forty-three trillion, eight hundred sixty-eight billion, two hundred eighty million, seven hundred twenty-two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 167 334 501 668 1002 1487 2004 2171 2974 4342 4461 5948 6513 8684 8922 13026 17844 19331 26052 38662 57993 77324 115986 231972 248329 496658 744987 993316 1489974 2979948 3228277 3713753 6456554 7427506 9684831 11141259 12913108 14855012 19369662 22282518 38739324 44565036 48278789 96557578 144836367 193115156 289672734 579345468 620196751 1240393502 1860590253 2480787004 3721180506 5522350711 7442361012 8062557763 11044701422 16125115526 16567052133 22089402844 24187673289 32250231052 33134104266 48375346578 66268208532 71790559243 96750693156 143581118486 215371677729 287162236972 430743355458 861486710916 922232568737 1844465137474 2766697706211 3688930274948 5533395412422 11066790824844 11989023393581 23978046787162 35967070180743 47956093574324 71934140361486 143868280722972