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144500050134 = 2321113948710781
BaseRepresentation
bin1000011010010011011…
…1111100100011010110
3111210222110100010000200
42012210313330203112
54331414003101014
6150214333321330
713303563105666
oct2064467744326
9453873303020
10144500050134
1156311569440
1224008936246
131081ac8555b
146dcb14c1a6
153b5ad1ea09
hex21a4dfc8d6

144500050134 has 96 divisors (see below), whose sum is σ = 344741080320. Its totient is φ = 43379582400.

The previous prime is 144500050129. The next prime is 144500050151. The reversal of 144500050134 is 431050005441.

It is a happy number.

144500050134 is a `hidden beast` number, since 144 + 500 + 0 + 5 + 0 + 13 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 144500050098 and 144500050107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13397824 + ... + 13408604.

It is an arithmetic number, because the mean of its divisors is an integer number (3591052920).

Almost surely, 2144500050134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144500050134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172370540160).

144500050134 is an abundant number, since it is smaller than the sum of its proper divisors (200241030186).

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

144500050134 is a wasteful number, since it uses less digits than its factorization.

144500050134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11426 (or 11423 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 144500050134 its reverse (431050005441), we get a palindrome (575550055575).

The spelling of 144500050134 in words is "one hundred forty-four billion, five hundred million, fifty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 139 198 278 417 487 834 974 1251 1461 1529 2502 2922 3058 4383 4587 5357 8766 9174 10714 10781 13761 16071 21562 27522 32142 32343 48213 64686 67693 96426 97029 118591 135386 194058 203079 237182 355773 406158 609237 711546 744623 1067319 1218474 1489246 1498559 2134638 2233869 2997118 4467738 4495677 5250347 6701607 8991354 10500694 13403214 13487031 15751041 16484149 26974062 31502082 32968298 47253123 49452447 57753817 94506246 98904894 115507634 148357341 173261451 296714682 346522902 519784353 729798233 1039568706 1459596466 2189394699 4378789398 6568184097 8027780563 13136368194 16055561126 24083341689 48166683378 72250025067 144500050134