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40441041234 = 2351113755217
BaseRepresentation
bin100101101010011110…
…010101000101010010
310212101101221202100000
4211222132111011102
51130310401304414
630324531510430
72631111115206
oct455236250522
9125341852300
1040441041234
1116172a05930
127a07758416
133a765635c9
141d58db6b06
1510ba5a5b09
hex96a795152

40441041234 has 96 divisors (see below), whose sum is σ = 99853580736. Its totient is φ = 12165189120.

The previous prime is 40441041217. The next prime is 40441041239. The reversal of 40441041234 is 43214014404.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 40441041198 and 40441041207.

It is not an unprimeable number, because it can be changed into a prime (40441041239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 704794 + ... + 760010.

It is an arithmetic number, because the mean of its divisors is an integer number (1040141466).

Almost surely, 240441041234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40441041234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49926790368).

40441041234 is an abundant number, since it is smaller than the sum of its proper divisors (59412539502).

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

40441041234 is a wasteful number, since it uses less digits than its factorization.

40441041234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55382 (or 55370 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 40441041234 its reverse (43214014404), we get a palindrome (83655055638).

The spelling of 40441041234 in words is "forty billion, four hundred forty-one million, forty-one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 137 162 198 243 274 297 411 486 594 822 891 1233 1507 1782 2466 2673 3014 3699 4521 5346 7398 9042 11097 13563 22194 27126 33291 40689 55217 66582 81378 110434 122067 165651 244134 331302 366201 496953 607387 732402 993906 1214774 1490859 1822161 2981718 3644322 4472577 5466483 7564729 8945154 10932966 13417731 15129458 16399449 22694187 26835462 32798898 45388374 49198347 68082561 83212019 98396694 136165122 147595041 166424038 204247683 249636057 295190082 408495366 499272114 612743049 748908171 1225486098 1497816342 1838229147 2246724513 3676458294 4493449026 6740173539 13480347078 20220520617 40441041234