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4410010242132 = 22311436301123307
BaseRepresentation
bin100000000101100100100…
…0110000000110001010100
3120121121000012022001121120
41000023021012000301110
51034223200110222012
613213533012243540
7633420110364405
oct100131106006124
916547005261546
104410010242132
1114503028a4050
125b28336105b0
1325cb2929c071
14113634b6d9ac
1579aab5d658c
hex402c9180c54

4410010242132 has 96 divisors (see below), whose sum is σ = 11488454444544. Its totient is φ = 1305070704000.

The previous prime is 4410010242119. The next prime is 4410010242137. The reversal of 4410010242132 is 2312420100144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4410010242137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35702823 + ... + 35826129.

It is an arithmetic number, because the mean of its divisors is an integer number (119671400464).

Almost surely, 24410010242132 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 4410010242132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5744227222272).

4410010242132 is an abundant number, since it is smaller than the sum of its proper divisors (7078444202412).

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

4410010242132 is a wasteful number, since it uses less digits than its factorization.

4410010242132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129669 (or 129667 counting only the distinct ones).

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

Adding to 4410010242132 its reverse (2312420100144), we get a palindrome (6722430342276).

The spelling of 4410010242132 in words is "four trillion, four hundred ten billion, ten million, two hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 473 516 946 1419 1892 2838 5676 6301 12602 18903 25204 37806 69311 75612 123307 138622 207933 246614 270943 277244 369921 415866 493228 541886 739842 812829 831732 1083772 1356377 1479684 1625658 2712754 2980373 3251316 4069131 5302201 5425508 5960746 8138262 8941119 10604402 11921492 15906603 16276524 17882238 21208804 31813206 35764476 58324211 63626412 116648422 174972633 233296844 349945266 699890532 776957407 1553914814 2330872221 3107829628 4661744442 8546531477 9323488884 17093062954 25639594431 33409168501 34186125908 51279188862 66818337002 100227505503 102558377724 133636674004 200455011006 367500853511 400910022012 735001707022 1102502560533 1470003414044 2205005121066 4410010242132