Search a number
-
+
141310024635060 = 223251025376568389
BaseRepresentation
bin100000001000010101001101…
…110100100101001010110100
3200112100002212120201012220100
4200020111031310211022310
5122010210412301310220
61220312532405234100
741523212066664651
oct4010251564451264
9615302776635810
10141310024635060
1141031276a640a6
1213a229b5402930
1360b062a63c358
1426c7627dacc28
151150be8538d90
hex80854dd252b4

141310024635060 has 72 divisors (see below), whose sum is σ = 428682219998760. Its totient is φ = 37678997461248.

The previous prime is 141310024635053. The next prime is 141310024635061. The reversal of 141310024635060 is 60536420013141.

141310024635060 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 1 + 0 + 0 + 246 + 350 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17687559212964 + 123622465422096 = 4205658^2 + 11118564^2 .

It is a super-2 number, since 2×1413100246350602 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141310024635061) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 36438655 + ... + 40129734.

It is an arithmetic number, because the mean of its divisors is an integer number (5953919722205).

Almost surely, 2141310024635060 is an apocalyptic number.

141310024635060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141310024635060 is an abundant number, since it is smaller than the sum of its proper divisors (287372195363700).

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

141310024635060 is a wasteful number, since it uses less digits than its factorization.

141310024635060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76578657 (or 76578652 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 141310024635060 in words is "one hundred forty-one trillion, three hundred ten billion, twenty-four million, six hundred thirty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 10253 20506 30759 41012 51265 61518 92277 102530 123036 153795 184554 205060 307590 369108 461385 615180 922770 1845540 76568389 153136778 229705167 306273556 382841945 459410334 689115501 765683890 918820668 1148525835 1378231002 1531367780 2297051670 2756462004 3445577505 4594103340 6891155010 13782310020 785055692417 1570111384834 2355167077251 3140222769668 3925278462085 4710334154502 7065501231753 7850556924170 9420668309004 11775835386255 14131002463506 15701113848340 23551670772510 28262004927012 35327506158765 47103341545020 70655012317530 141310024635060