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420454150000 = 245513960497
BaseRepresentation
bin1100001111001010000…
…01010010111101110000
31111012021011122211220221
412013211001102331300
523342042230300000
6521053131342424
742243150210253
oct6074501227560
91435234584827
10420454150000
1115234a451aa5
12695a12b1a14
1330858136891
14164c890709a
15ae0c47261a
hex61e5052f70

420454150000 has 120 divisors (see below), whose sum is σ = 1025564515920. Its totient is φ = 166968960000.

The previous prime is 420454149977. The next prime is 420454150009. The reversal of 420454150000 is 51454024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420454150009) 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, 6919752 + ... + 6980248.

It is an arithmetic number, because the mean of its divisors is an integer number (8546370966).

Almost surely, 2420454150000 is an apocalyptic number.

420454150000 is a gapful number since it is divisible by the number (40) 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 420454150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512782257960).

420454150000 is an abundant number, since it is smaller than the sum of its proper divisors (605110365920).

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

420454150000 is an equidigital number, since it uses as much as digits as its factorization.

420454150000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60669 (or 60643 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The spelling of 420454150000 in words is "four hundred twenty billion, four hundred fifty-four million, one hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 139 200 250 278 400 500 556 625 695 1000 1112 1250 1390 2000 2224 2500 2780 3125 3475 5000 5560 6250 6950 10000 11120 12500 13900 17375 25000 27800 34750 50000 55600 60497 69500 86875 120994 139000 173750 241988 278000 302485 347500 434375 483976 604970 695000 868750 967952 1209940 1390000 1512425 1737500 2419880 3024850 3475000 4839760 6049700 6950000 7562125 8409083 12099400 15124250 16818166 24198800 30248500 33636332 37810625 42045415 60497000 67272664 75621250 84090830 120994000 134545328 151242500 168181660 189053125 210227075 302485000 336363320 378106250 420454150 604970000 672726640 756212500 840908300 1051135375 1512425000 1681816600 2102270750 3024850000 3363633200 4204541500 5255676875 8409083000 10511353750 16818166000 21022707500 26278384375 42045415000 52556768750 84090830000 105113537500 210227075000 420454150000