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141503129040 = 243572131138191
BaseRepresentation
bin1000001111001000111…
…1100110010111010000
3111112020121002202011010
42003302033212113100
54304244300112130
6145001115050520
713136402515500
oct2036217462720
9445217082133
10141503129040
1155013911249
1223511140a40
131046110b570
146bc5107a00
153a32b880b0
hex20f23e65d0

141503129040 has 480 divisors, whose sum is σ = 554460512256. Its totient is φ = 29587783680.

The previous prime is 141503129029. The next prime is 141503129087. The reversal of 141503129040 is 40921305141.

It is a super-2 number, since 2×1415031290402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 141503128989 and 141503129007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17271345 + ... + 17279535.

Almost surely, 2141503129040 is an apocalyptic number.

141503129040 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 141503129040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277230256128).

141503129040 is an abundant number, since it is smaller than the sum of its proper divisors (412957383216).

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

141503129040 is a wasteful number, since it uses less digits than its factorization.

141503129040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8347 (or 8334 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 141503129040 in words is "one hundred forty-one billion, five hundred three million, one hundred twenty-nine thousand, forty".