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144026322064 = 2417255812
BaseRepresentation
bin1000011000100010100…
…0110100010010010000
3111202202102221020021121
42012020220310102100
54324431214301224
6150055331532024
713256051352412
oct2061050642220
9452672836247
10144026322064
1156099116539
1223ab615a014
1310773a9b5a1
146d842749b2
153b2e445be4
hex2188a34490

144026322064 has 45 divisors (see below), whose sum is σ = 296484461931. Its totient is φ = 67764948480.

The previous prime is 144026322061. The next prime is 144026322127. The reversal of 144026322064 is 460223620441.

The square root of 144026322064 is 379508.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1601600400 + 142424721664 = 40020^2 + 377392^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144026322061) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25803754 + ... + 25809334.

Almost surely, 2144026322064 is an apocalyptic number.

144026322064 is the 379508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144026322064

144026322064 is an abundant number, since it is smaller than the sum of its proper divisors (152458139867).

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

144026322064 is an frugal number, since it uses more digits than its factorization.

144026322064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11204 (or 5600 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The spelling of 144026322064 in words is "one hundred forty-four billion, twenty-six million, three hundred twenty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 4624 5581 11162 22324 44648 89296 94877 189754 379508 759016 1518032 1612909 3225818 6451636 12903272 25806544 31147561 62295122 124590244 249180488 498360976 529508537 1059017074 2118034148 4236068296 8472136592 9001645129 18003290258 36006580516 72013161032 144026322064