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141026432 = 272347903
BaseRepresentation
bin10000110011111…
…10010010000000
3100211100212220012
420121332102000
5242100321212
621554404052
73331463531
oct1031762200
9324325805
10141026432
1172673278
123b290628
13232a95c1
1414a30688
15c5aa922
hex867e480

141026432 has 32 divisors (see below), whose sum is σ = 293172480. Its totient is φ = 67446016.

The previous prime is 141026423. The next prime is 141026443. The reversal of 141026432 is 234620141.

141026432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×1410264323 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 141026398 and 141026407.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 21008 + ... + 26895.

It is an arithmetic number, because the mean of its divisors is an integer number (9161640).

Almost surely, 2141026432 is an apocalyptic number.

It is an amenable number.

141026432 is an abundant number, since it is smaller than the sum of its proper divisors (152146048).

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

141026432 is an equidigital number, since it uses as much as digits as its factorization.

141026432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47940 (or 47928 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 141026432 is about 11875.4550228612. The cubic root of 141026432 is about 520.5153077140.

Adding to 141026432 its reverse (234620141), we get a palindrome (375646573).

The spelling of 141026432 in words is "one hundred forty-one million, twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 736 1472 2944 47903 95806 191612 383224 766448 1101769 1532896 2203538 3065792 4407076 6131584 8814152 17628304 35256608 70513216 141026432