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10404421004224 = 2613432677108637
BaseRepresentation
bin1001011101100111011111…
…0100010110101111000000
31100211122121222200220111101
42113121313310112233000
52330431223234113344
634043420334424144
72122460152224412
oct227316764265700
940748558626441
1010404421004224
113351543461315
121200543662054
135a61956a20a0
1427d8105169b2
15130999a239d4
hex97677d16bc0

10404421004224 has 112 divisors (see below), whose sum is σ = 22760236346848. Its totient is φ = 4688569847808.

The previous prime is 10404421004207. The next prime is 10404421004239. The reversal of 10404421004224 is 42240012440401.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10404421004192 and 10404421004201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95718034 + ... + 95826670.

It is an arithmetic number, because the mean of its divisors is an integer number (203216395954).

Almost surely, 210404421004224 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 10404421004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11380118173424).

10404421004224 is an abundant number, since it is smaller than the sum of its proper divisors (12355815342624).

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

10404421004224 is a wasteful number, since it uses less digits than its factorization.

10404421004224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111382 (or 111372 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 10404421004224 its reverse (42240012440401), we get a palindrome (52644433444625).

The spelling of 10404421004224 in words is "ten trillion, four hundred four billion, four hundred twenty-one million, four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 86 104 172 208 344 416 559 688 832 1118 1376 2236 2677 2752 4472 5354 8944 10708 17888 21416 34801 35776 42832 69602 85664 108637 115111 139204 171328 217274 230222 278408 434548 460444 556816 869096 920888 1113632 1412281 1496443 1738192 1841776 2227264 2824562 2992886 3476384 3683552 4671391 5649124 5985772 6952768 7367104 9342782 11298248 11971544 18685564 22596496 23943088 37371128 45192992 47886176 60728083 74742256 90385984 95772352 121456166 149484512 242912332 290821249 298969024 485824664 581642498 971649328 1163284996 1943298656 2326569992 3780676237 3886597312 4653139984 7561352474 9306279968 12505313707 15122704948 18612559936 25010627414 30245409896 50021254828 60490819792 100042509656 120981639584 162569078191 200085019312 241963279168 325138156382 400170038624 650276312764 800340077248 1300552625528 2601105251056 5202210502112 10404421004224