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144044042401040 = 24517891407171527
BaseRepresentation
bin100000110000000111011101…
…111110101011010100010000
3200220000110211222111000202212
4200300013131332223110100
5122340004144323313130
61230204530342331252
742224560436364605
oct4060073576532420
9626013758430685
10144044042401040
114199580a795661
12141a484a429b28
13624b3aac07762
14277daa9a286ac
15119bdb1ccbe95
hex8301ddfab510

144044042401040 has 80 divisors (see below), whose sum is σ = 335118098807040. Its totient is φ = 57580512837120.

The previous prime is 144044042401033. The next prime is 144044042401043. The reversal of 144044042401040 is 40104240440441.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 144044042400988 and 144044042401006.

It is not an unprimeable number, because it can be changed into a prime (144044042401043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2013805757 + ... + 2013877283.

It is an arithmetic number, because the mean of its divisors is an integer number (4188976235088).

Almost surely, 2144044042401040 is an apocalyptic number.

144044042401040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144044042401040 is an abundant number, since it is smaller than the sum of its proper divisors (191074056406000).

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

144044042401040 is a wasteful number, since it uses less digits than its factorization.

144044042401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87400 (or 87394 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 144044042401040 its reverse (40104240440441), we get a palindrome (184148282841481).

The spelling of 144044042401040 in words is "one hundred forty-four trillion, forty-four billion, forty-two million, four hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1789 3578 7156 8945 14071 14312 17890 28142 28624 35780 56284 70355 71527 71560 112568 140710 143054 143120 225136 281420 286108 357635 562840 572216 715270 1125680 1144432 1430540 2861080 5722160 25173019 50346038 100692076 125865095 127961803 201384152 251730190 255923606 402768304 503460380 511847212 639809015 1006456417 1006920760 1023694424 1279618030 2012912834 2013841520 2047388848 2559236060 4025825668 5032282085 5118472120 8051651336 10064564170 10236944240 16103302672 20129128340 40258256680 80516513360 1800550530013 3601101060026 7202202120052 9002752650065 14404404240104 18005505300130 28808808480208 36011010600260 72022021200520 144044042401040