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40223003420 = 225191097431307
BaseRepresentation
bin100101011101011110…
…100101001100011100
310211211012200021200102
4211131132211030130
51124334042102140
630251142320232
72622522613355
oct453536451434
9124735607612
1040223003420
1116070922896
127966729078
133a40332052
141d3805ad2c
1510a6386e15
hex95d7a531c

40223003420 has 96 divisors (see below), whose sum is σ = 89919244800. Its totient is φ = 15070696704.

The previous prime is 40223003419. The next prime is 40223003449. The reversal of 40223003420 is 2430032204.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 40223003392 and 40223003401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30774407 + ... + 30775713.

It is an arithmetic number, because the mean of its divisors is an integer number (936658800).

Almost surely, 240223003420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40223003420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44959622400).

40223003420 is an abundant number, since it is smaller than the sum of its proper divisors (49696241380).

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

40223003420 is a wasteful number, since it uses less digits than its factorization.

40223003420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 40223003420 its reverse (2430032204), we get a palindrome (42653035624).

The spelling of 40223003420 in words is "forty billion, two hundred twenty-three million, three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 109 190 218 380 436 545 743 1090 1307 1486 2071 2180 2614 2972 3715 4142 5228 6535 7430 8284 10355 13070 14117 14860 20710 24833 26140 28234 41420 49666 56468 70585 80987 99332 124165 141170 142463 161974 248330 282340 284926 323948 404935 496660 569852 712315 809870 971101 1424630 1538753 1619740 1942202 2706797 2849260 3077506 3884404 4855505 5413594 6155012 7693765 9711010 10827188 13533985 15387530 18450919 19422020 27067970 30775060 36901838 54135940 73803676 92254595 105850009 184509190 211700018 369018380 423400036 529250045 1058500090 2011150171 2117000180 4022300342 8044600684 10055750855 20111501710 40223003420