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41222337972 = 223231021114627
BaseRepresentation
bin100110011001000010…
…101111010110110100
310221101212002201222020
4212121002233112310
51133410404303342
630534241433140
72656346043234
oct463102572664
9127355081866
1041222337972
1116533a31712
127ba533b7b0
133b6c39837a
141dd0a73cc4
151113e860ec
hex9990af5b4

41222337972 has 48 divisors (see below), whose sum is σ = 100384123392. Its totient is φ = 13141168480.

The previous prime is 41222337943. The next prime is 41222337979. The reversal of 41222337972 is 27973322214.

It is a happy number.

41222337972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×412223379722 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41222337979) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2810923 + ... + 2825549.

It is an arithmetic number, because the mean of its divisors is an integer number (2091335904).

Almost surely, 241222337972 is an apocalyptic number.

It is an amenable number.

41222337972 is an abundant number, since it is smaller than the sum of its proper divisors (59161785420).

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

41222337972 is a wasteful number, since it uses less digits than its factorization.

41222337972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24868 (or 24866 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The spelling of 41222337972 in words is "forty-one billion, two hundred twenty-two million, three hundred thirty-seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 10211 14627 20422 29254 30633 40844 43881 58508 61266 87762 122532 175524 234853 336421 469706 672842 704559 939412 1009263 1345684 1409118 2018526 2818236 4037052 149356297 298712594 448068891 597425188 896137782 1792275564 3435194831 6870389662 10305584493 13740779324 20611168986 41222337972