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401032140034320 = 243255273105630397
BaseRepresentation
bin101101100101111001001001…
…0010000000001000100010000
31221120221022001100211110012100
41123023302102100001010100
5410031002310322044240
63540531342150000400
7150320421165314334
oct13313622220010420
91846838040743170
10401032140034320
11106865859188023
1238b8a870346100
13142a0226375882
1471060b84077c4
153156b762e2e30
hex16cbc92401110

401032140034320 has 120 divisors (see below), whose sum is σ = 1347055030667736. Its totient is φ = 106921621960704.

The previous prime is 401032140034283. The next prime is 401032140034381. The reversal of 401032140034320 is 23430041230104.

401032140034320 is a `hidden beast` number, since 4 + 0 + 10 + 3 + 214 + 0 + 0 + 3 + 432 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 86505178265856 + 314526961768464 = 9300816^2 + 17734908^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 49018639 + ... + 56611758.

Almost surely, 2401032140034320 is an apocalyptic number.

401032140034320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401032140034320 is an abundant number, since it is smaller than the sum of its proper divisors (946022890633416).

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

401032140034320 is a wasteful number, since it uses less digits than its factorization.

401032140034320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105635689 (or 105635680 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 401032140034320 its reverse (23430041230104), we get a palindrome (424462181264424).

The spelling of 401032140034320 in words is "four hundred one trillion, thirty-two billion, one hundred forty million, thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 5273 10546 15819 21092 26365 31638 42184 47457 52730 63276 79095 84368 94914 105460 126552 158190 189828 210920 237285 253104 316380 379656 421840 474570 632760 759312 949140 1265520 1898280 3796560 105630397 211260794 316891191 422521588 528151985 633782382 845043176 950673573 1056303970 1267564764 1584455955 1690086352 1901347146 2112607940 2535129528 3168911910 3802694292 4225215880 4753367865 5070259056 6337823820 7605388584 8450431760 9506735730 12675647640 15210777168 19013471460 25351295280 38026942920 76053885840 556989083381 1113978166762 1670967250143 2227956333524 2784945416905 3341934500286 4455912667048 5012901750429 5569890833810 6683869000572 8354836250715 8911825334096 10025803500858 11139781667620 13367738001144 16709672501430 20051607001716 22279563335240 25064508752145 26735476002288 33419345002860 40103214003432 44559126670480 50129017504290 66838690005720 80206428006864 100258035008580 133677380011440 200516070017160 401032140034320