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141381840 = 2435896619
BaseRepresentation
bin10000110110101…
…01000011010000
3100212000221102110
420123111003100
5242143204330
622010145320
73334503645
oct1033250320
9325027373
10141381840
11728962a6
123b422240
13233a22c2
1414ac3dcc
15c62adb0
hex86d50d0

141381840 has 80 divisors (see below), whose sum is σ = 443275200. Its totient is φ = 37272576.

The previous prime is 141381811. The next prime is 141381841. The reversal of 141381840 is 48183141.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 141381798 and 141381807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141381841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18051 + ... + 24669.

It is an arithmetic number, because the mean of its divisors is an integer number (5540940).

Almost surely, 2141381840 is an apocalyptic number.

141381840 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 141381840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221637600).

141381840 is an abundant number, since it is smaller than the sum of its proper divisors (301893360).

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

141381840 is a wasteful number, since it uses less digits than its factorization.

141381840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6724 (or 6718 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 141381840 is about 11890.4095808345. The cubic root of 141381840 is about 520.9522000839.

The spelling of 141381840 in words is "one hundred forty-one million, three hundred eighty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 89 120 178 240 267 356 445 534 712 890 1068 1335 1424 1780 2136 2670 3560 4272 5340 6619 7120 10680 13238 19857 21360 26476 33095 39714 52952 66190 79428 99285 105904 132380 158856 198570 264760 317712 397140 529520 589091 794280 1178182 1588560 1767273 2356364 2945455 3534546 4712728 5890910 7069092 8836365 9425456 11781820 14138184 17672730 23563640 28276368 35345460 47127280 70690920 141381840