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40442222224 = 24234112772099
BaseRepresentation
bin100101101010100010…
…110101011010010000
310212101111011202100101
4211222202311122100
51130311202102344
630325013102144
72631124134265
oct455242653220
9125344152311
1040442222224
1116173642158
127a08027954
133a76888011
141d5920326c
1510ba73a9d4
hex96a8b5690

40442222224 has 80 divisors (see below), whose sum is σ = 83863382400. Its totient is φ = 18846417920.

The previous prime is 40442222179. The next prime is 40442222231. The reversal of 40442222224 is 42222224404.

It is a junction number, because it is equal to n+sod(n) for n = 40442222192 and 40442222201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19266327 + ... + 19268425.

It is an arithmetic number, because the mean of its divisors is an integer number (1048292280).

Almost surely, 240442222224 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 40442222224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41931691200).

40442222224 is an abundant number, since it is smaller than the sum of its proper divisors (43421160176).

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

40442222224 is a wasteful number, since it uses less digits than its factorization.

40442222224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3448 (or 3442 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 40442222224 its reverse (42222224404), we get a palindrome (82664446628).

The spelling of 40442222224 in words is "forty billion, four hundred forty-two million, two hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 41 46 82 92 164 184 328 368 656 943 1277 1886 2099 2554 3772 4198 5108 7544 8396 10216 15088 16792 20432 29371 33584 48277 52357 58742 86059 96554 104714 117484 172118 193108 209428 234968 344236 386216 418856 469936 688472 772432 837712 1204211 1376944 1979357 2408422 2680423 3958714 4816844 5360846 7917428 9633688 10721692 15834856 19267376 21443384 31669712 42886768 61649729 109897343 123299458 219794686 246598916 439589372 493197832 879178744 986395664 1758357488 2527638889 5055277778 10110555556 20221111112 40442222224