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141393600000 = 2934551091
BaseRepresentation
bin1000001110101110110…
…1110001111000000000
3111111221222000002120000
42003223231301320000
54304033230200000
6144542203320000
713133602525032
oct2035355617000
9444858002500
10141393600000
1154a68001484
12234a0520000
131044450c693
146bb4755c52
153a28250000
hex20ebb71e00

141393600000 has 600 divisors, whose sum is σ = 527978066616. Its totient is φ = 37670400000.

The previous prime is 141393599989. The next prime is 141393600071. The reversal of 141393600000 is 6393141.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 129599455 + ... + 129600545.

Almost surely, 2141393600000 is an apocalyptic number.

141393600000 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 141393600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263989033308).

141393600000 is an abundant number, since it is smaller than the sum of its proper divisors (386584466616).

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

141393600000 is an frugal number, since it uses more digits than its factorization.

141393600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 141393600000 its reverse (6393141), we get a palindrome (141399993141).

The spelling of 141393600000 in words is "one hundred forty-one billion, three hundred ninety-three million, six hundred thousand".