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141321672 = 23344672
BaseRepresentation
bin10000110110001…
…10010111001000
3100211220212220000
420123012113020
5242134243142
622005003000
73334133352
oct1033062710
9324825800
10141321672
1172855078
123b3b3460
1323380abb
1414aaa0d2
15c61814c
hex86c65c8

141321672 has 60 divisors (see below), whose sum is σ = 396680955. Its totient is φ = 47006352.

The previous prime is 141321671. The next prime is 141321679. The reversal of 141321672 is 276123141.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 70660836 + 70660836 = 8406^2 + 8406^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=8406.

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

It is not an unprimeable number, because it can be changed into a prime (141321671) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 302383 + ... + 302849.

Almost surely, 2141321672 is an apocalyptic number.

141321672 is a gapful number since it is divisible by the number (12) 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 141321672

141321672 is an abundant number, since it is smaller than the sum of its proper divisors (255359283).

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

141321672 is an frugal number, since it uses more digits than its factorization.

141321672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 472 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 141321672 is about 11887.8792053082. The cubic root of 141321672 is about 520.8782888954.

The spelling of 141321672 in words is "one hundred forty-one million, three hundred twenty-one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 467 648 934 1401 1868 2802 3736 4203 5604 8406 11208 12609 16812 25218 33624 37827 50436 75654 100872 151308 218089 302616 436178 654267 872356 1308534 1744712 1962801 2617068 3925602 5234136 5888403 7851204 11776806 15702408 17665209 23553612 35330418 47107224 70660836 141321672