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141241184 = 2575311897
BaseRepresentation
bin10000110101100…
…10101101100000
3100211202210110222
420122302231200
5242124204214
622003142212
73333346610
oct1032625540
9324683428
10141241184
11727aa657
123b374968
1323353286
1414a88a40
15c5ee38e
hex86b2b60

141241184 has 48 divisors (see below), whose sum is σ = 323815968. Its totient is φ = 59384832.

The previous prime is 141241181. The next prime is 141241189. The reversal of 141241184 is 481142141.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141241181) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5924 + ... + 17820.

It is an arithmetic number, because the mean of its divisors is an integer number (6746166).

Almost surely, 2141241184 is an apocalyptic number.

141241184 is a gapful number since it is divisible by the number (14) 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 141241184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161907984).

141241184 is an abundant number, since it is smaller than the sum of its proper divisors (182574784).

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

141241184 is a wasteful number, since it uses less digits than its factorization.

141241184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11967 (or 11959 counting only the distinct ones).

The product of its digits is 1024, while the sum is 26.

The square root of 141241184 is about 11884.4934263098. The cubic root of 141241184 is about 520.7793835333.

The spelling of 141241184 in words is "one hundred forty-one million, two hundred forty-one thousand, one hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 106 112 212 224 371 424 742 848 1484 1696 2968 5936 11872 11897 23794 47588 83279 95176 166558 190352 333116 380704 630541 666232 1261082 1332464 2522164 2664928 4413787 5044328 8827574 10088656 17655148 20177312 35310296 70620592 141241184