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10221404413044 = 22311892333734141
BaseRepresentation
bin1001010010111101101100…
…1011011101110001110100
31100012011020020200210002110
42110233123023131301310
52314431414012204134
633423352014011020
72103320633661006
oct224573313356164
940164206623073
1010221404413044
113290967357580
121190b877a6a70
13591b49ab7656
14274a0bc36376
1512ad3759a7e9
hex94bdb2ddc74

10221404413044 has 96 divisors (see below), whose sum is σ = 26423386254720. Its totient is φ = 3049448089600.

The previous prime is 10221404413043. The next prime is 10221404413049. The reversal of 10221404413044 is 44031440412201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221404413043) 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, 870214 + ... + 4604354.

It is an arithmetic number, because the mean of its divisors is an integer number (275243606820).

Almost surely, 210221404413044 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 10221404413044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13211693127360).

10221404413044 is an abundant number, since it is smaller than the sum of its proper divisors (16201981841676).

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

10221404413044 is a wasteful number, since it uses less digits than its factorization.

10221404413044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3734481 (or 3734479 counting only the distinct ones).

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

Adding to 10221404413044 its reverse (44031440412201), we get a palindrome (54252844825245).

The spelling of 10221404413044 in words is "ten trillion, two hundred twenty-one billion, four hundred four million, four hundred thirteen thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 89 132 178 233 267 356 466 534 699 932 979 1068 1398 1958 2563 2796 2937 3916 5126 5874 7689 10252 11748 15378 20737 30756 41474 62211 82948 124422 228107 248844 456214 684321 912428 1368642 2737284 3734141 7468282 11202423 14936564 22404846 41075551 44809692 82151102 123226653 164302204 246453306 332338549 492906612 664677098 870054853 997015647 1329354196 1740109706 1994031294 2610164559 3480219412 3655724039 3988062588 5220329118 7311448078 9570603383 10440658236 10967172117 14622896156 19141206766 21934344234 28711810149 38282413532 43868688468 57423620298 77434881917 114847240596 154869763834 232304645751 309739527668 464609291502 851783701087 929218583004 1703567402174 2555351103261 3407134804348 5110702206522 10221404413044