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1310044440144 = 2431119829157523
BaseRepresentation
bin10011000100000100101…
…110111100011001010000
311122020110020201212202210
4103010010232330121100
5132430432334041034
62441454234512120
7163435060003416
oct23040456743120
94566406655683
101310044440144
1146564aa2a7a0
12191a8b295640
13966c907444b
14475995992b6
1524125b608e9
hex13104bbc650

1310044440144 has 160 divisors (see below), whose sum is σ = 3890968819200. Its totient is φ = 375633262080.

The previous prime is 1310044440113. The next prime is 1310044440157. The reversal of 1310044440144 is 4410444400131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8237767 + ... + 8395289.

It is an arithmetic number, because the mean of its divisors is an integer number (24318555120).

Almost surely, 21310044440144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310044440144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945484409600).

1310044440144 is an abundant number, since it is smaller than the sum of its proper divisors (2580924379056).

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

1310044440144 is a wasteful number, since it uses less digits than its factorization.

1310044440144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158393 (or 158387 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 1310044440144 its reverse (4410444400131), we get a palindrome (5720488840275).

The spelling of 1310044440144 in words is "one trillion, three hundred ten billion, forty-four million, four hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 456 528 627 829 836 912 1254 1658 1672 2487 2508 3316 3344 4974 5016 6632 9119 9948 10032 13264 15751 18238 19896 27357 31502 36476 39792 47253 54714 63004 72952 94506 109428 126008 145904 157523 173261 189012 218856 252016 315046 346522 378024 437712 472569 519783 630092 693044 756048 945138 1039566 1260184 1386088 1732753 1890276 2079132 2520368 2772176 2992937 3465506 3780552 4158264 5198259 5985874 6931012 7561104 8316528 8978811 10396518 11971748 13862024 17957622 20793036 23943496 27724048 32922307 35915244 41586072 47886992 65844614 71830488 83172144 98766921 130586567 131689228 143660976 197533842 261173134 263378456 391759701 395067684 522346268 526756912 783519402 790135368 1044692536 1436452237 1567038804 1580270736 2089385072 2481144773 2872904474 3134077608 4309356711 4962289546 5745808948 6268155216 7443434319 8618713422 9924579092 11491617896 14886868638 17237426844 19849158184 22983235792 27292592503 29773737276 34474853688 39698316368 54585185006 59547474552 68949707376 81877777509 109170370012 119094949104 163755555018 218340740024 327511110036 436681480048 655022220072 1310044440144