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1053300424224 = 253223317155209
BaseRepresentation
bin11110101001111011001…
…10001111111000100000
310201200202022120112000010
433110331212033320200
5114224124402033344
62123513551324520
7136045523611566
oct17247546177040
93650668515003
101053300424224
1137677a6a2574
12150178220740
1378430a389b9
1438da1223a36
151c5eac448b9
hexf53d98fe20

1053300424224 has 96 divisors (see below), whose sum is σ = 2786091517440. Its totient is φ = 348420851712.

The previous prime is 1053300424219. The next prime is 1053300424247. The reversal of 1053300424224 is 4224240033501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10533004242242 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1053300424191 and 1053300424200.

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, 6708732 + ... + 6863940.

It is an arithmetic number, because the mean of its divisors is an integer number (29021786640).

Almost surely, 21053300424224 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 1053300424224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393045758720).

1053300424224 is an abundant number, since it is smaller than the sum of its proper divisors (1732791093216).

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

1053300424224 is a wasteful number, since it uses less digits than its factorization.

1053300424224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155762 (or 155754 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 1053300424224 its reverse (4224240033501), we get a palindrome (5277540457725).

The spelling of 1053300424224 in words is "one trillion, fifty-three billion, three hundred million, four hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 223 317 446 634 669 892 951 1268 1338 1784 1902 2536 2676 3568 3804 5072 5352 7136 7608 10144 10704 15216 21408 30432 70691 141382 155209 212073 282764 310418 424146 465627 565528 620836 848292 931254 1131056 1241672 1696584 1862508 2262112 2483344 3393168 3725016 4966688 6786336 7450032 14900064 34611607 49201253 69223214 98402506 103834821 138446428 147603759 196805012 207669642 276892856 295207518 393610024 415339284 553785712 590415036 787220048 830678568 1107571424 1180830072 1574440096 1661357136 2361660144 3322714272 4723320288 10971879419 21943758838 32915638257 43887517676 65831276514 87775035352 131662553028 175550070704 263325106056 351100141408 526650212112 1053300424224