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144311011413440 = 2651726527759451
BaseRepresentation
bin100000110100000000000110…
…100100101000110111000000
3200220221222221111210000210212
4200310000012210220313000
5122403342422410212230
61230531321411013252
742253061251504664
oct4064000644506700
9626858844700725
10144311011413440
1141a88a57842aa3
121422853589a228
13626a61572a391
14278c993d708a4
1511a3cd96eb895
hex834006928dc0

144311011413440 has 56 divisors (see below), whose sum is σ = 363854748643632. Its totient is φ = 54328851353600.

The previous prime is 144311011413377. The next prime is 144311011413449. The reversal of 144311011413440 is 44314110113441.

It is a super-2 number, since 2×1443110114134402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 144311011413397 and 144311011413406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144311011413449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13263874286 + ... + 13263885165.

Almost surely, 2144311011413440 is an apocalyptic number.

144311011413440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144311011413440 is an abundant number, since it is smaller than the sum of its proper divisors (219543737230192).

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

144311011413440 is a wasteful number, since it uses less digits than its factorization.

144311011413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26527759485 (or 26527759475 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

Adding to 144311011413440 its reverse (44314110113441), we get a palindrome (188625121526881).

The spelling of 144311011413440 in words is "one hundred forty-four trillion, three hundred eleven billion, eleven million, four hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 5440 26527759451 53055518902 106111037804 132638797255 212222075608 265277594510 424444151216 450971910667 530555189020 848888302432 901943821334 1061110378040 1697776604864 1803887642668 2122220756080 2254859553335 3607775285336 4244441512160 4509719106670 7215550570672 8488883024320 9019438213340 14431101141344 18038876426680 28862202282688 36077752853360 72155505706720 144311011413440