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141455120 = 2451819769
BaseRepresentation
bin10000110111001…
…10111100010000
3100212011122221112
420123212330100
5242203030440
622011512452
73335230412
oct1033467420
9325148845
10141455120
1172936364
123b458728
13233c9771
1414b029b2
15c642965
hex86e6f10

141455120 has 40 divisors (see below), whose sum is σ = 330734040. Its totient is φ = 56263680.

The previous prime is 141455099. The next prime is 141455131. The reversal of 141455120 is 21554141.

It can be written as a sum of positive squares in 4 ways, for example, as 1364224 + 140090896 = 1168^2 + 11836^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9596 + ... + 19364.

It is an arithmetic number, because the mean of its divisors is an integer number (8268351).

Almost surely, 2141455120 is an apocalyptic number.

141455120 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 141455120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165367020).

141455120 is an abundant number, since it is smaller than the sum of its proper divisors (189278920).

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

141455120 is a wasteful number, since it uses less digits than its factorization.

141455120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9963 (or 9957 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 141455120 is about 11893.4906566575. The cubic root of 141455120 is about 521.0421899146.

The spelling of 141455120 in words is "one hundred forty-one million, four hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 181 362 724 905 1448 1810 2896 3620 7240 9769 14480 19538 39076 48845 78152 97690 156304 195380 390760 781520 1768189 3536378 7072756 8840945 14145512 17681890 28291024 35363780 70727560 141455120