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144044103211320 = 23351392335963597
BaseRepresentation
bin100000110000000111100001…
…100110101001100100111000
3200220000111000012220111210110
4200300013201212221210320
5122340004310410230240
61230204540353544320
742224562105305214
oct4060074146514470
9626014005814713
10144044103211320
114199584104a294
12141a48668750a0
13624b3ba6a9480
14277dab3b37944
15119bdb72dec80
hex8301e19a9938

144044103211320 has 64 divisors (see below), whose sum is σ = 465373256533920. Its totient is φ = 35457010020864.

The previous prime is 144044103211279. The next prime is 144044103211321. The reversal of 144044103211320 is 23112301440441.

It is a happy number.

It is a super-2 number, since 2×1440441032113202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144044103211321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46167980239 + ... + 46167983358.

Almost surely, 2144044103211320 is an apocalyptic number.

144044103211320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144044103211320 is an abundant number, since it is smaller than the sum of its proper divisors (321329153322600).

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

144044103211320 is a wasteful number, since it uses less digits than its factorization.

144044103211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92335963624 (or 92335963620 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 144044103211320 its reverse (23112301440441), we get a palindrome (167156404651761).

The spelling of 144044103211320 in words is "one hundred forty-four trillion, forty-four billion, one hundred three million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 92335963597 184671927194 277007890791 369343854388 461679817985 554015781582 738687708776 923359635970 1108031563164 1200367526761 1385039453955 1846719271940 2216063126328 2400735053522 2770078907910 3601102580283 3693438543880 4801470107044 5540157815820 6001837633805 7202205160566 9602940214088 11080315631640 12003675267610 14404410321132 18005512901415 24007350535220 28808820642264 36011025802830 48014701070440 72022051605660 144044103211320