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40424226444 = 2234717823733
BaseRepresentation
bin100101101001011110…
…001011111010001100
310212100020022110210000
4211221132023322030
51130242100221234
630323131244300
72630515153410
oct455136137214
9125306273700
1040424226444
1116164470708
127a01ba9690
133a72c26c24
141d56a7ad40
1510b8d83899
hex96978be8c

40424226444 has 60 divisors (see below), whose sum is σ = 120773621584. Its totient is φ = 11549778336.

The previous prime is 40424226419. The next prime is 40424226461. The reversal of 40424226444 is 44462242404.

40424226444 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 4 + 2 + 2 + 644 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40424226399 and 40424226408.

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 19 ways as a sum of consecutive naturals, for example, 8909599 + ... + 8914134.

Almost surely, 240424226444 is an apocalyptic number.

It is an amenable number.

40424226444 is an abundant number, since it is smaller than the sum of its proper divisors (80349395140).

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

40424226444 is a wasteful number, since it uses less digits than its factorization.

40424226444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17823756 (or 17823745 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 40424226444 its reverse (44462242404), we get a palindrome (84886468848).

The spelling of 40424226444 in words is "forty billion, four hundred twenty-four million, two hundred twenty-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 17823733 35647466 53471199 71294932 106942398 124766131 160413597 213884796 249532262 320827194 374298393 481240791 499064524 641654388 748596786 962481582 1122895179 1443722373 1497193572 1924963164 2245790358 2887444746 3368685537 4491580716 5774889492 6737371074 10106056611 13474742148 20212113222 40424226444