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14050440450 = 23252535771021
BaseRepresentation
bin11010001010111100…
…01011010100000010
31100021012101022212100
431011132023110002
5212233403043300
610242113411230
71005116526144
oct150536132402
940235338770
1014050440450
115a6011a962
122881569b16
13142bbbc8b7
14974086c94
15573798700
hex34578b502

14050440450 has 144 divisors (see below), whose sum is σ = 38565484776. Its totient is φ = 3666124800.

The previous prime is 14050440433. The next prime is 14050440457. The reversal of 14050440450 is 5404405041.

It can be written as a sum of positive squares in 12 ways, for example, as 6633613809 + 7416826641 = 81447^2 + 86121^2 .

It is not an unprimeable number, because it can be changed into a prime (14050440457) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13760940 + ... + 13761960.

Almost surely, 214050440450 is an apocalyptic number.

14050440450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14050440450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19282742388).

14050440450 is an abundant number, since it is smaller than the sum of its proper divisors (24515044326).

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

14050440450 is a wasteful number, since it uses less digits than its factorization.

14050440450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 14050440450 its reverse (5404405041), we get a palindrome (19454845491).

The spelling of 14050440450 in words is "fourteen billion, fifty million, four hundred forty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 53 75 90 106 150 159 225 265 318 450 477 530 577 795 954 1021 1154 1325 1590 1731 2042 2385 2650 2885 3063 3462 3975 4770 5105 5193 5770 6126 7950 8655 9189 10210 10386 11925 14425 15315 17310 18378 23850 25525 25965 28850 30581 30630 43275 45945 51050 51930 54113 61162 76575 86550 91743 91890 108226 129825 152905 153150 162339 183486 229725 259650 270565 275229 305810 324678 458715 459450 487017 541130 550458 589117 764525 811695 917430 974034 1178234 1352825 1376145 1529050 1623390 1767351 2293575 2435085 2705650 2752290 2945585 3534702 4058475 4587150 4870170 5302053 5891170 6880725 8116950 8836755 10604106 12175425 13761450 14727925 17673510 24350850 26510265 29455850 31223201 44183775 53020530 62446402 88367550 93669603 132551325 156116005 187339206 265102650 281008809 312232010 468348015 562017618 780580025 936696030 1405044045 1561160050 2341740075 2810088090 4683480150 7025220225 14050440450