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141310144 = 2619791471
BaseRepresentation
bin10000110110000…
…11100011000000
3100211220022002001
420123003203000
5242133411034
622004433344
73334054633
oct1033034300
9324808061
10141310144
1172847448
123b3a8854
1323378791
1414aa5c1a
15c614a14
hex86c38c0

141310144 has 56 divisors (see below), whose sum is σ = 299110400. Its totient is φ = 66044160.

The previous prime is 141310111. The next prime is 141310151. The reversal of 141310144 is 441013141.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a zygodrome in base 6.

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, 95329 + ... + 96799.

Almost surely, 2141310144 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 141310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149555200).

141310144 is an abundant number, since it is smaller than the sum of its proper divisors (157800256).

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

141310144 is a wasteful number, since it uses less digits than its factorization.

141310144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 141310144 is about 11887.3943318122. The cubic root of 141310144 is about 520.8641253489.

Adding to 141310144 its reverse (441013141), we get a palindrome (582323285).

The spelling of 141310144 in words is "one hundred forty-one million, three hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 79 152 158 304 316 608 632 1216 1264 1471 1501 2528 2942 3002 5056 5884 6004 11768 12008 23536 24016 27949 47072 48032 55898 94144 96064 111796 116209 223592 232418 447184 464836 894368 929672 1788736 1859344 2207971 3718688 4415942 7437376 8831884 17663768 35327536 70655072 141310144