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41441202132 = 2231131101100271
BaseRepresentation
bin100110100110000101…
…101000111111010100
310221222002221012011020
4212212011220333110
51134332421432012
631012100441140
72664644256201
oct464605507724
9127862835136
1041441202132
1116636529590
1280466a91b0
133ba5828aa5
142011b66ca8
1511282b9a8c
hex9a6168fd4

41441202132 has 96 divisors (see below), whose sum is σ = 109968703488. Its totient is φ = 12032400000.

The previous prime is 41441202091. The next prime is 41441202181. The reversal of 41441202132 is 23120214414.

41441202132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 363157 + ... + 463427.

It is an arithmetic number, because the mean of its divisors is an integer number (1145507328).

Almost surely, 241441202132 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 41441202132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54984351744).

41441202132 is an abundant number, since it is smaller than the sum of its proper divisors (68527501356).

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

41441202132 is a wasteful number, since it uses less digits than its factorization.

41441202132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100421 (or 100419 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 41441202132 its reverse (23120214414), we get a palindrome (64561416546).

The spelling of 41441202132 in words is "forty-one billion, four hundred forty-one million, two hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 101 124 132 186 202 303 341 372 404 606 682 1023 1111 1212 1364 2046 2222 3131 3333 4092 4444 6262 6666 9393 12524 13332 18786 34441 37572 68882 100271 103323 137764 200542 206646 300813 401084 413292 601626 1102981 1203252 2205962 3108401 3308943 4411924 6216802 6617886 9325203 10127371 12433604 13235772 18650406 20254742 30382113 34192411 37300812 40509484 60764226 68384822 102577233 111401081 121528452 136769644 205154466 222802162 313948501 334203243 410308932 445604324 627897002 668406486 941845503 1255794004 1336812972 1883691006 3453433511 3767382012 6906867022 10360300533 13813734044 20720601066 41441202132