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40020024420 = 22325222333469
BaseRepresentation
bin100101010001011000…
…010001110001100100
310211022001201212211200
4211101120101301210
51123430111240140
630215052002500
72614506411015
oct452130216144
9124261655750
1040020024420
1115a77295752
12790a760430
133a0a273b2c
141d1910100c
151093640030
hex951611c64

40020024420 has 36 divisors (see below), whose sum is σ = 121394074620. Its totient is φ = 10672006464.

The previous prime is 40020024413. The next prime is 40020024431. The reversal of 40020024420 is 2442002004.

40020024420 is a `hidden beast` number, since 40 + 0 + 200 + 2 + 4 + 420 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6688949796 + 33331074624 = 81786^2 + 182568^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40020024393 and 40020024402.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111166555 + ... + 111166914.

Almost surely, 240020024420 is an apocalyptic number.

It is an amenable number.

40020024420 is an abundant number, since it is smaller than the sum of its proper divisors (81374050200).

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

40020024420 is a wasteful number, since it uses less digits than its factorization.

40020024420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222333484 (or 222333479 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 40020024420 its reverse (2442002004), we get a palindrome (42462026424).

The spelling of 40020024420 in words is "forty billion, twenty million, twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 222333469 444666938 667000407 889333876 1111667345 1334000814 2001001221 2223334690 2668001628 3335002035 4002002442 4446669380 6670004070 8004004884 10005006105 13340008140 20010012210 40020024420