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1053453314240 = 265103291710957
BaseRepresentation
bin11110101010001101011…
…01011110100011000000
310201201010222021010200022
433111012231132203000
5114224433022023430
62123541052313012
7136052361266225
oct17250655364300
93651128233608
101053453314240
11376848a29058
121501bb472768
137845660a172
1438db766194c
151c6093954e5
hexf546b5e8c0

1053453314240 has 112 divisors (see below), whose sum is σ = 2533989986112. Its totient is φ = 417109118976.

The previous prime is 1053453314203. The next prime is 1053453314311. The reversal of 1053453314240 is 424133543501.

1053453314240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10534533142402 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1053453314240.

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, 96138842 + ... + 96149798.

Almost surely, 21053453314240 is an apocalyptic number.

1053453314240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053453314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266994993056).

1053453314240 is an abundant number, since it is smaller than the sum of its proper divisors (1480536671872).

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

1053453314240 is a wasteful number, since it uses less digits than its factorization.

1053453314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13994 (or 13984 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 1053453314240 its reverse (424133543501), we get a palindrome (1477586857741).

The spelling of 1053453314240 in words is "one trillion, fifty-three billion, four hundred fifty-three million, three hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 103 160 206 320 412 515 824 1030 1648 2060 2917 3296 4120 5834 6592 8240 10957 11668 14585 16480 21914 23336 29170 32960 43828 46672 54785 58340 87656 93344 109570 116680 175312 186688 219140 233360 300451 350624 438280 466720 600902 701248 876560 933440 1128571 1201804 1502255 1753120 2257142 2403608 3004510 3506240 4514284 4807216 5642855 6009020 9028568 9614432 11285710 12018040 18057136 19228864 22571420 24036080 31961569 36114272 45142840 48072160 63923138 72228544 90285680 96144320 127846276 159807845 180571360 255692552 319615690 361142720 511385104 639231380 1022770208 1278462760 2045540416 2556925520 3292041607 5113851040 6584083214 10227702080 13168166428 16460208035 26336332856 32920416070 52672665712 65840832140 105345331424 131681664280 210690662848 263363328560 526726657120 1053453314240