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420130410510400 = 26521440718225967
BaseRepresentation
bin101111110000110110011101…
…1111000001011100001000000
32001002120002000200002221211021
41133201230323320023201000
5420031404040042313100
64045313125054555224
7154331264141010022
oct13741547370134100
92032502020087737
10420130410510400
11111959340a57357
123b154108508b14
1315057187787875
1475a65c56b0012
153388851db5a1a
hex17e1b3be0b840

420130410510400 has 84 divisors (see below), whose sum is σ = 1033855203718528. Its totient is φ = 168040490365440.

The previous prime is 420130410510337. The next prime is 420130410510409. The reversal of 420130410510400 is 4015014031024.

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

It is not an unprimeable number, because it can be changed into a prime (420130410510409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13938217 + ... + 32164183.

Almost surely, 2420130410510400 is an apocalyptic number.

420130410510400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420130410510400 is an abundant number, since it is smaller than the sum of its proper divisors (613724793208128).

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

420130410510400 is a wasteful number, since it uses less digits than its factorization.

420130410510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18240396 (or 18240381 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 420130410510400 its reverse (4015014031024), we get a palindrome (424145424541424).

The spelling of 420130410510400 in words is "four hundred twenty trillion, one hundred thirty billion, four hundred ten million, five hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 14407 28814 57628 72035 115256 144070 230512 288140 360175 461024 576280 720350 922048 1152560 1440700 2305120 2881400 4610240 5762800 11525600 18225967 23051200 36451934 72903868 91129835 145807736 182259670 291615472 364519340 455649175 583230944 729038680 911298350 1166461888 1458077360 1822596700 2916154720 3645193400 5832309440 7290386800 14580773600 29161547200 262581506569 525163013138 1050326026276 1312907532845 2100652052552 2625815065690 4201304105104 5251630131380 6564537664225 8402608210208 10503260262760 13129075328450 16805216420416 21006520525520 26258150656900 42013041051040 52516301313800 84026082102080 105032602627600 210065205255200 420130410510400