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114222044432010 = 2352310112712905527
BaseRepresentation
bin11001111110001001100100…
…011000100100011010001010
3112222102112001200000100021110
4121332021210120210122022
5104432403221333311020
61042532514404351150
733026161512203034
oct3176114430443212
9488375050010243
10114222044432010
113343832a357009
1210988bb76a54b6
134b971284c6c68
14202c53ad8ac54
15d3129e0ea8e0
hex67e26462468a

114222044432010 has 128 divisors (see below), whose sum is σ = 291158623125504. Its totient is φ = 28619294457600.

The previous prime is 114222044432009. The next prime is 114222044432071. The reversal of 114222044432010 is 10234440222411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2397867 + ... + 15303393.

It is an arithmetic number, because the mean of its divisors is an integer number (2274676743168).

Almost surely, 2114222044432010 is an apocalyptic number.

114222044432010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114222044432010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145579311562752).

114222044432010 is an abundant number, since it is smaller than the sum of its proper divisors (176936578693494).

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

114222044432010 is a wasteful number, since it uses less digits than its factorization.

114222044432010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12905788.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 114222044432010 its reverse (10234440222411), we get a palindrome (124456484654421).

The spelling of 114222044432010 in words is "one hundred fourteen trillion, two hundred twenty-two billion, forty-four million, four hundred thirty-two thousand, ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 101 115 127 138 202 230 254 303 345 381 505 606 635 690 762 1010 1270 1515 1905 2323 2921 3030 3810 4646 5842 6969 8763 11615 12827 13938 14605 17526 23230 25654 29210 34845 38481 43815 64135 69690 76962 87630 128270 192405 295021 384810 590042 885063 1475105 1770126 2950210 4425315 8850630 12905527 25811054 38716581 64527635 77433162 129055270 193582905 296827121 387165810 593654242 890481363 1303458227 1484135605 1639001929 1780962726 2606916454 2968271210 3278003858 3910374681 4452406815 4917005787 6517291135 7820749362 8195009645 8904813630 9834011574 13034582270 16390019290 19551873405 24585028935 29979539221 37697044367 39103746810 49170057870 59959078442 75394088734 89938617663 113091133101 149897696105 165539194829 179877235326 188485221835 226182266202 299795392210 331078389658 376970443670 449693088315 496617584487 565455665505 827695974145 899386176630 993235168974 1130911331010 1655391948290 2483087922435 3807401481067 4966175844870 7614802962134 11422204443201 19037007405335 22844408886402 38074014810670 57111022216005 114222044432010