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141304032 = 25321792741
BaseRepresentation
bin10000110110000…
…10000011100000
3100211212222200200
420123002003200
5242133212112
622004345200
73334031052
oct1033020340
9324788620
10141304032
11728428a1
123b3a5200
1323375a6c
1414aa38d2
15c612cdc
hex86c20e0

141304032 has 72 divisors (see below), whose sum is σ = 404225640. Its totient is φ = 46821120.

The previous prime is 141304027. The next prime is 141304049. The reversal of 141304032 is 230403141.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 141303996 and 141304014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50182 + ... + 52922.

It is an arithmetic number, because the mean of its divisors is an integer number (5614245).

Almost surely, 2141304032 is an apocalyptic number.

141304032 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 141304032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202112820).

141304032 is an abundant number, since it is smaller than the sum of its proper divisors (262921608).

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

141304032 is a wasteful number, since it uses less digits than its factorization.

141304032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936 (or 2925 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 141304032 is about 11887.1372499858. The cubic root of 141304032 is about 520.8566157030.

Adding to 141304032 its reverse (230403141), we get a palindrome (371707173).

The spelling of 141304032 in words is "one hundred forty-one million, three hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 179 288 358 537 716 1074 1432 1611 2148 2741 2864 3222 4296 5482 5728 6444 8223 8592 10964 12888 16446 17184 21928 24669 25776 32892 43856 49338 51552 65784 87712 98676 131568 197352 263136 394704 490639 789408 981278 1471917 1962556 2943834 3925112 4415751 5887668 7850224 8831502 11775336 15700448 17663004 23550672 35326008 47101344 70652016 141304032