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141324431332320 = 2532598141966203
BaseRepresentation
bin100000001000100010101000…
…100001110001001111100000
3200112101111001121110021020100
4200020202220201301033200
5122010424413410113240
61220323314130542400
741524232103620535
oct4010425041611740
9615344047407210
10141324431332320
114103739a191a75
1213a25756137a00
1360b1ab5295ca2
1426c81d34b0d8c
15115128d204e30
hex8088a88713e0

141324431332320 has 72 divisors (see below), whose sum is σ = 482269621926456. Its totient is φ = 37686515021568.

The previous prime is 141324431332267. The next prime is 141324431332327. The reversal of 141324431332320 is 23233134423141.

141324431332320 is a `hidden beast` number, since 1 + 4 + 1 + 324 + 4 + 3 + 1 + 3 + 3 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 (141324431332327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49070981662 + ... + 49070984541.

It is an arithmetic number, because the mean of its divisors is an integer number (6698189193423).

Almost surely, 2141324431332320 is an apocalyptic number.

141324431332320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141324431332320 is an abundant number, since it is smaller than the sum of its proper divisors (340945190594136).

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

141324431332320 is a wasteful number, since it uses less digits than its factorization.

141324431332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98141966224 (or 98141966213 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 141324431332320 its reverse (23233134423141), we get a palindrome (164557565755461).

The spelling of 141324431332320 in words is "one hundred forty-one trillion, three hundred twenty-four billion, four hundred thirty-one million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 98141966203 196283932406 294425898609 392567864812 490709831015 588851797218 785135729624 883277695827 981419662030 1177703594436 1472129493045 1570271459248 1766555391654 1962839324060 2355407188872 2944258986090 3140542918496 3533110783308 3925678648120 4416388479135 4710814377744 5888517972180 7066221566616 7851357296240 8832776958270 9421628755488 11777035944360 14132443133232 15702714592480 17665553916540 23554071888720 28264886266464 35331107833080 47108143777440 70662215666160 141324431332320