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401232441023040 = 26351137995496309
BaseRepresentation
bin101101100111010110011010…
…1000111101001101001000000
31221121122110001200110221121010
41123032230311013221221000
5410042243014400214130
63541203345551200520
7150341041632526434
oct13316546507515100
91847573050427533
10401232441023040
111069327a4938530
1239001650816140
13142b6097b4a883
147111a7a4789c4
15315be9adbe0b0
hex16ceb351e9a40

401232441023040 has 112 divisors (see below), whose sum is σ = 1389723273034560. Its totient is φ = 97268470548480.

The previous prime is 401232441023039. The next prime is 401232441023077. The reversal of 401232441023040 is 40320144232104.

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

It is a junction number, because it is equal to n+sod(n) for n = 401232441022989 and 401232441023007.

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, 18997737595 + ... + 18997758714.

Almost surely, 2401232441023040 is an apocalyptic number.

401232441023040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401232441023040 is an abundant number, since it is smaller than the sum of its proper divisors (988490832011520).

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

401232441023040 is a wasteful number, since it uses less digits than its factorization.

401232441023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37995496340 (or 37995496330 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 401232441023040 its reverse (40320144232104), we get a palindrome (441552585255144).

The spelling of 401232441023040 in words is "four hundred one trillion, two hundred thirty-two billion, four hundred forty-one million, twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 37995496309 75990992618 113986488927 151981985236 189977481545 227972977854 303963970472 379954963090 417950459399 455945955708 569932444635 607927940944 759909926180 835900918798 911891911416 1139864889270 1215855881888 1253851378197 1519819852360 1671801837596 1823783822832 2089752296995 2279729778540 2431711763776 2507702756394 3039639704720 3343603675192 3647567645664 4179504593990 4559459557080 5015405512788 6079279409440 6269256890985 6687207350384 7295135291328 8359009187980 9118919114160 10030811025576 12158558818880 12538513781970 13374414700768 16718018375960 18237838228320 20061622051152 25077027563940 26748829401536 33436036751920 36475676456640 40123244102304 50154055127880 66872073503840 80246488204608 100308110255760 133744147007680 200616220511520 401232441023040