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135450450044 = 227131765333521
BaseRepresentation
bin111111000100101111…
…0011101100001111100
3110221121202220210110222
41332021132131201330
54204400303400134
6142120341120512
712533405554160
oct1761136354174
9427552823428
10135450450044
115249827a9a8
12223020b9138
13ca08159bc0
1467ad304ca0
1537cb5e6a2e
hex1f8979d87c

135450450044 has 96 divisors (see below), whose sum is σ = 309382851456. Its totient is φ = 50354012160.

The previous prime is 135450450029. The next prime is 135450450049. The reversal of 135450450044 is 440054054531.

It is a junction number, because it is equal to n+sod(n) for n = 135450449986 and 135450450013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135450450049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4024004 + ... + 4057524.

It is an arithmetic number, because the mean of its divisors is an integer number (3222738036).

Almost surely, 2135450450044 is an apocalyptic number.

135450450044 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 135450450044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154691425728).

135450450044 is an abundant number, since it is smaller than the sum of its proper divisors (173932401412).

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

135450450044 is a wasteful number, since it uses less digits than its factorization.

135450450044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34215 (or 34213 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

The spelling of 135450450044 in words is "one hundred thirty-five billion, four hundred fifty million, four hundred fifty thousand, forty-four".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 91 119 182 221 238 364 442 476 653 884 1306 1547 2612 3094 4571 6188 8489 9142 11101 16978 18284 22202 33521 33956 44404 59423 67042 77707 118846 134084 144313 155414 234647 237692 288626 310828 435773 469294 569857 577252 871546 938588 1010191 1139714 1743092 2020382 2279428 3050411 3988999 4040764 6100822 7408141 7977998 12201644 14816282 15955996 21889213 29632564 43778426 51856987 87556852 103713974 153224491 207427948 284559769 306448982 372116621 569119538 612897964 744233242 1138239076 1488466484 1991918383 2604816347 3983836766 4837516073 5209632694 7967673532 9675032146 10419265388 19350064292 33862612511 67725225022 135450450044