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141147452544 = 27374295279
BaseRepresentation
bin1000001101110100001…
…0110011010010000000
3111111022210211111201120
42003131002303102000
54303032221440134
6144501531432240
713124523360000
oct2033502632200
9444283744646
10141147452544
115495106a22a
1223431bb5680
13104055186b7
146b8dba0000
153a1182c649
hex20dd0b3480

141147452544 has 320 divisors, whose sum is σ = 452551968000. Its totient is φ = 38929852416.

The previous prime is 141147452539. The next prime is 141147452587. The reversal of 141147452544 is 445254741141.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 141147452496 and 141147452505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26734897 + ... + 26740175.

It is an arithmetic number, because the mean of its divisors is an integer number (1414224900).

Almost surely, 2141147452544 is an apocalyptic number.

141147452544 is a gapful number since it is divisible by the number (14) 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 141147452544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226275984000).

141147452544 is an abundant number, since it is smaller than the sum of its proper divisors (311404515456).

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

141147452544 is an frugal number, since it uses more digits than its factorization.

141147452544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5353 (or 5320 counting only the distinct ones).

The product of its digits is 358400, while the sum is 42.

The spelling of 141147452544 in words is "one hundred forty-one billion, one hundred forty-seven million, four hundred fifty-two thousand, five hundred forty-four".