Search a number
-
+
141723257820993 = 32694918341123553
BaseRepresentation
bin100000001110010110000100…
…011100000101011101000001
3200120210121111111212002022200
4200032112010130011131001
5122033443213000232433
61221230433230423413
741565111306055662
oct4016260434053501
9616717444762280
10141723257820993
114118055035a9a2
1213a8ab00361b69
1361105a4755814
1426dd62987b369
15115b831a96613
hex80e584705741

141723257820993 has 24 divisors (see below), whose sum is σ = 204753651733800. Its totient is φ = 94462660131840.

The previous prime is 141723257820983. The next prime is 141723257821003. The reversal of 141723257820993 is 399028752327141.

It is a happy number.

141723257820993 is a `hidden beast` number, since 1 + 4 + 1 + 7 + 2 + 32 + 578 + 20 + 9 + 9 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (141723257820983) and next prime (141723257821003).

It can be written as a sum of positive squares in 4 ways, for example, as 5744616684849 + 135978641136144 = 2396793^2 + 11660988^2 .

It is not a de Polignac number, because 141723257820993 - 220 = 141723256772417 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 141723257820993.

It is not an unprimeable number, because it can be changed into a prime (141723257820923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1147002705 + ... + 1147126257.

It is an arithmetic number, because the mean of its divisors is an integer number (8531402155575).

Almost surely, 2141723257820993 is an apocalyptic number.

It is an amenable number.

141723257820993 is a deficient number, since it is larger than the sum of its proper divisors (63030393912807).

141723257820993 is a wasteful number, since it uses less digits than its factorization.

141723257820993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148849 (or 148846 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 141723257820993 in words is "one hundred forty-one trillion, seven hundred twenty-three billion, two hundred fifty-seven million, eight hundred twenty thousand, nine hundred ninety-three".

Divisors: 1 3 9 6949 18341 20847 55023 62541 123553 165069 370659 1111977 127451609 382354827 858569797 1147064481 2266085573 2575709391 6798256719 7727128173 20394770157 15747028646777 47241085940331 141723257820993