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101441021430444 = 2232316319311683141
BaseRepresentation
bin10111000100001010010100…
…000011000100101010101100
3111022011200000012100220102020
4113010022110003010222230
5101244002202441233234
6555425210101030140
730236605035201363
oct2704122403045254
9438150005326366
10101441021430444
112a35a9940432a3
12b463b489b5350
13447ab02603a87
141b09ab35147da
15badaa8e2c549
hex5c42940c4aac

101441021430444 has 96 divisors (see below), whose sum is σ = 249789688425984. Its totient is φ = 31978530017280.

The previous prime is 101441021430443. The next prime is 101441021430451. The reversal of 101441021430444 is 444034120144101.

It is not an unprimeable number, because it can be changed into a prime (101441021430443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2841114 + ... + 14524254.

It is an arithmetic number, because the mean of its divisors is an integer number (2601975921104).

Almost surely, 2101441021430444 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 101441021430444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124894844212992).

101441021430444 is an abundant number, since it is smaller than the sum of its proper divisors (148348666995540).

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

101441021430444 is a wasteful number, since it uses less digits than its factorization.

101441021430444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11683527 (or 11683525 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 101441021430444 its reverse (444034120144101), we get a palindrome (545475141574545).

The spelling of 101441021430444 in words is "one hundred one trillion, four hundred forty-one billion, twenty-one million, four hundred thirty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 163 193 276 326 386 489 579 652 772 978 1158 1956 2316 3749 4439 7498 8878 11247 13317 14996 17756 22494 26634 31459 44988 53268 62918 94377 125836 188754 377508 723557 1447114 2170671 2894228 4341342 8682684 11683141 23366282 35049423 46732564 70098846 140197692 268712243 537424486 806136729 1074848972 1612273458 1904351983 2254846213 3224546916 3808703966 4509692426 5713055949 6764538639 7617407932 9019384852 11426111898 13529077278 22852223796 27058154556 43800095609 51861462899 87600191218 103722925798 131400286827 155584388697 175200382436 207445851596 262800573654 311168777394 367539932719 525601147308 622337554788 735079865438 1102619798157 1470159730876 2205239596314 4410479192628 8453418452537 16906836905074 25360255357611 33813673810148 50720510715222 101441021430444