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4402299431096 = 2374112777319531
BaseRepresentation
bin100000000001111110101…
…1111100110100010111000
3120120212002211001021101122
41000003331133212202320
51034111402123243341
613210215523004412
7633025040515640
oct100037537464270
916525084037348
104402299431096
111448006296646
125b1241209708
1325c19a93cc98
14113102a63520
15797a96b194b
hex400fd7e68b8

4402299431096 has 128 divisors (see below), whose sum is σ = 9752774492160. Its totient is φ = 1823733273600.

The previous prime is 4402299431081. The next prime is 4402299431149. The reversal of 4402299431096 is 6901349922044.

It is a super-2 number, since 2×44022994310962 (a number of 26 digits) contains 22 as substring.

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, 225390851 + ... + 225410381.

It is an arithmetic number, because the mean of its divisors is an integer number (76193550720).

Almost surely, 24402299431096 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 4402299431096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4876387246080).

4402299431096 is an abundant number, since it is smaller than the sum of its proper divisors (5350475061064).

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

4402299431096 is a wasteful number, since it uses less digits than its factorization.

4402299431096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20485 (or 20481 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 53.

The spelling of 4402299431096 in words is "four trillion, four hundred two billion, two hundred ninety-nine million, four hundred thirty-one thousand, ninety-six".

Divisors: 1 2 4 7 8 14 28 41 56 82 127 164 254 287 328 508 574 773 889 1016 1148 1546 1778 2296 3092 3556 5207 5411 6184 7112 10414 10822 19531 20828 21644 31693 36449 39062 41656 43288 63386 72898 78124 98171 126772 136717 145796 156248 196342 221851 253544 273434 291592 392684 443702 546868 687197 785368 800771 887404 1093736 1374394 1601542 1774808 2480437 2748788 3203084 4025011 4960874 5497576 5605397 6406168 8050022 9921748 11210794 15097463 16100044 17363059 19843496 22421588 28175077 30194926 32200088 34726118 44843176 56350154 60389852 69452236 101697917 105682241 112700308 120779704 138904472 203395834 211364482 225400616 406791668 422728964 618995983 711885419 813583336 845457928 1237991966 1423770838 1917377801 2475983932 2847541676 3834755602 4332971881 4951967864 5695083352 7669511204 8665943762 13421644607 15339022408 17331887524 26843289214 34663775048 53686578428 78612489841 107373156856 157224979682 314449959364 550287428887 628899918728 1100574857774 2201149715548 4402299431096