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141483456 = 2633411997
BaseRepresentation
bin10000110111011…
…01110111000000
3100212020002211000
420123231313000
5242204432311
622012252000
73335406132
oct1033556700
9325202730
10141483456
1172955684
123b471000
132340962a
1414b0d052
15c64b056
hex86eddc0

141483456 has 112 divisors (see below), whose sum is σ = 426293280. Its totient is φ = 45987840.

The previous prime is 141483427. The next prime is 141483457. The reversal of 141483456 is 654384141.

141483456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 141483456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141483457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69850 + ... + 71846.

It is an arithmetic number, because the mean of its divisors is an integer number (3806190).

Almost surely, 2141483456 is an apocalyptic number.

141483456 is a gapful number since it is divisible by the number (16) 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 141483456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213146640).

141483456 is an abundant number, since it is smaller than the sum of its proper divisors (284809824).

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

141483456 is a wasteful number, since it uses less digits than its factorization.

141483456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059 (or 2043 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 141483456 is about 11894.6818368547. The cubic root of 141483456 is about 521.0769789599.

The spelling of 141483456 in words is "one hundred forty-one million, four hundred eighty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 82 96 108 123 144 164 192 216 246 288 328 369 432 492 576 656 738 864 984 1107 1312 1476 1728 1968 1997 2214 2624 2952 3936 3994 4428 5904 5991 7872 7988 8856 11808 11982 15976 17712 17973 23616 23964 31952 35424 35946 47928 53919 63904 70848 71892 81877 95856 107838 127808 143784 163754 191712 215676 245631 287568 327508 383424 431352 491262 575136 655016 736893 862704 982524 1150272 1310032 1473786 1725408 1965048 2210679 2620064 2947572 3450816 3930096 4421358 5240128 5895144 7860192 8842716 11790288 15720384 17685432 23580576 35370864 47161152 70741728 141483456