Search a number
-
+
144091481352 = 23371361832157
BaseRepresentation
bin1000011000110010000…
…1011000010100001000
3111202220222112200000120
42012030201120110020
54330044404400402
6150110020303240
713260502245240
oct2061441302410
9452828480016
10144091481352
1156121980695
1223b13b41b20
1310784433990
146d8cb96b20
153b350173bc
hex218c858508

144091481352 has 384 divisors, whose sum is σ = 459026453760. Its totient is φ = 36693596160.

The previous prime is 144091481327. The next prime is 144091481377. The reversal of 144091481352 is 253184190441.

It is an interprime number because it is at equal distance from previous prime (144091481327) and next prime (144091481377).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 917780058 + ... + 917780214.

It is an arithmetic number, because the mean of its divisors is an integer number (1195381390).

Almost surely, 2144091481352 is an apocalyptic number.

144091481352 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 144091481352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229513226880).

144091481352 is an abundant number, since it is smaller than the sum of its proper divisors (314934972408).

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

144091481352 is a wasteful number, since it uses less digits than its factorization.

144091481352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 144091481352 in words is "one hundred forty-four billion, ninety-one million, four hundred eighty-one thousand, three hundred fifty-two".