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421220144400 = 243521131910617
BaseRepresentation
bin1100010000100101010…
…11010101010100010000
31111021020120000101200220
412020102223111110100
523400124324110100
6521301133313040
742301141103136
oct6102253252420
91437216011626
10421220144400
11152702876a20
1269775935780
133094aa414c3
141655c53d756
15ae5482daa0
hex6212ad5510

421220144400 has 120 divisors (see below), whose sum is σ = 1471972987104. Its totient is φ = 102113971200.

The previous prime is 421220144393. The next prime is 421220144407. The reversal of 421220144400 is 4441022124.

It is an interprime number because it is at equal distance from previous prime (421220144393) and next prime (421220144407).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (421220144407) 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, 15942109 + ... + 15968508.

Almost surely, 2421220144400 is an apocalyptic number.

421220144400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

421220144400 is an abundant number, since it is smaller than the sum of its proper divisors (1050752842704).

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

421220144400 is a wasteful number, since it uses less digits than its factorization.

421220144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31910649 (or 31910638 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 421220144400 its reverse (4441022124), we get a palindrome (425661166524).

The spelling of 421220144400 in words is "four hundred twenty-one billion, two hundred twenty million, one hundred forty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6600 13200 31910617 63821234 95731851 127642468 159553085 191463702 255284936 319106170 351016787 382927404 478659255 510569872 638212340 702033574 765854808 797765425 957318510 1053050361 1276424680 1404067148 1531709616 1595530850 1755083935 1914637020 2106100722 2393296275 2552849360 2808134296 3191061700 3510167870 3829274040 4212201444 4786592550 5265251805 5616268592 6382123400 7020335740 7658548080 8424402888 8775419675 9573185100 10530503610 12764246800 14040671480 16848805776 17550839350 19146370200 21061007220 26326259025 28081342960 35101678700 38292740400 42122014440 52652518050 70203357400 84244028880 105305036100 140406714800 210610072200 421220144400