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421221422014344 = 233274311939110881
BaseRepresentation
bin101111111000110010100000…
…1001110110001111110001000
32001020102101010010201210222200
41133301211001032301332020
5420202242433013424334
64051510241101520200
7154503146336535510
oct13761450116617610
92036371103653880
10421221422014344
1111223a002564206
123b2ab649b73060
13151060182acb03
1476033230b8840
1533a6e086ad799
hex17f19413b1f88

421221422014344 has 96 divisors (see below), whose sum is σ = 1306805605597440. Its totient is φ = 120069745689600.

The previous prime is 421221422014343. The next prime is 421221422014369. The reversal of 421221422014344 is 443410224122124.

421221422014344 is a `hidden beast` number, since 4 + 2 + 1 + 2 + 2 + 14 + 2 + 201 + 434 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 421221422014299 and 421221422014308.

It is not an unprimeable number, because it can be changed into a prime (421221422014343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 969338217 + ... + 969772664.

It is an arithmetic number, because the mean of its divisors is an integer number (13612558391640).

Almost surely, 2421221422014344 is an apocalyptic number.

It is an amenable number.

421221422014344 is an abundant number, since it is smaller than the sum of its proper divisors (885584183583096).

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

421221422014344 is a wasteful number, since it uses less digits than its factorization.

421221422014344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939111331 (or 1939111324 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 421221422014344 its reverse (443410224122124), we get a palindrome (864631646136468).

The spelling of 421221422014344 in words is "four hundred twenty-one trillion, two hundred twenty-one billion, four hundred twenty-two million, fourteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 431 504 862 1293 1724 2586 3017 3448 3879 5172 6034 7758 9051 10344 12068 15516 18102 24136 27153 31032 36204 54306 72408 108612 217224 1939110881 3878221762 5817332643 7756443524 11634665286 13573776167 15512887048 17451997929 23269330572 27147552334 34903995858 40721328501 46538661144 54295104668 69807991716 81442657002 108590209336 122163985503 139615983432 162885314004 244327971006 325770628008 488655942012 835756789711 977311884024 1671513579422 2507270369133 3343027158844 5014540738266 5850297527977 6686054317688 7521811107399 10029081476532 11700595055954 15043622214798 17550892583931 20058162953064 23401190111908 30087244429596 35101785167862 46802380223816 52652677751793 60174488859192 70203570335724 105305355503586 140407140671448 210610711007172 421221422014344