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141404032 = 2771114347
BaseRepresentation
bin10000110110110…
…10011110000000
3100212002001212101
420123122132000
5242144412112
622010440144
73334625440
oct1033323600
9325061771
10141404032
1172900a40
123b433054
13233ac433
1414acc120
15c632757
hex86da780

141404032 has 64 divisors (see below), whose sum is σ = 351239040. Its totient is φ = 55088640.

The previous prime is 141404017. The next prime is 141404057. The reversal of 141404032 is 230404141.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2683 + ... + 17029.

It is an arithmetic number, because the mean of its divisors is an integer number (5488110).

Almost surely, 2141404032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175619520).

141404032 is an abundant number, since it is smaller than the sum of its proper divisors (209835008).

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

141404032 is a wasteful number, since it uses less digits than its factorization.

141404032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14379 (or 14367 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 141404032 is about 11891.3427332661. The cubic root of 141404032 is about 520.9794557446.

Adding to 141404032 its reverse (230404141), we get a palindrome (371808173).

The spelling of 141404032 in words is "one hundred forty-one million, four hundred four thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 704 896 1232 1408 2464 4928 9856 14347 28694 57388 100429 114776 157817 200858 229552 315634 401716 459104 631268 803432 918208 1104719 1262536 1606864 1836416 2209438 2525072 3213728 4418876 5050144 6427456 8837752 10100288 12854912 17675504 20200576 35351008 70702016 141404032