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801441445120 = 28541127120247
BaseRepresentation
bin10111010100110011010…
…00011111010100000000
32211121122211110201221221
423222121220133110000
5101112323002220440
61412102131324424
7111621315611641
oct13523150372400
92747584421857
10801441445120
11289986890858
1210b3a9150714
135a7637a9694
142ab0b9856c8
1515ca9b21d4a
hexba99a1f500

801441445120 has 144 divisors (see below), whose sum is σ = 1982025658368. Its totient is φ = 310292398080.

The previous prime is 801441445117. The next prime is 801441445151. The reversal of 801441445120 is 21544144108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6604837 + ... + 6725083.

It is an arithmetic number, because the mean of its divisors is an integer number (13764067072).

Almost surely, 2801441445120 is an apocalyptic number.

801441445120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 801441445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991012829184).

801441445120 is an abundant number, since it is smaller than the sum of its proper divisors (1180584213248).

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

801441445120 is a wasteful number, since it uses less digits than its factorization.

801441445120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120436 (or 120422 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

Adding to 801441445120 its reverse (21544144108), we get a palindrome (822985589228).

The spelling of 801441445120 in words is "eight hundred one billion, four hundred forty-one million, four hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 127 128 160 164 205 254 256 320 328 410 508 635 640 656 820 1016 1270 1280 1312 1640 2032 2540 2624 3280 4064 5080 5207 5248 6560 8128 10160 10414 10496 13120 16256 20320 20828 26035 26240 32512 40640 41656 52070 52480 81280 83312 104140 120247 162560 166624 208280 240494 333248 416560 480988 601235 666496 833120 961976 1202470 1332992 1666240 1923952 2404940 3332480 3847904 4809880 4930127 6664960 7695808 9619760 9860254 15271369 15391616 19239520 19720508 24650635 30542738 30783232 38479040 39441016 49301270 61085476 76356845 76958080 78882032 98602540 122170952 152713690 153916160 157764064 197205080 244341904 305427380 315528128 394410160 488683808 610854760 626126129 631056256 788820320 977367616 1221709520 1252252258 1262112512 1577640640 1954735232 2443419040 2504504516 3130630645 3155281280 3909470464 4886838080 5009009032 6261261290 6310562560 9773676160 10018018064 12522522580 19547352320 20036036128 25045045160 40072072256 50090090320 80144144512 100180180640 160288289024 200360361280 400720722560 801441445120