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1053533505440 = 255132351215443
BaseRepresentation
bin11110101010010110111…
…11011000011110100000
310201201100120011021022202
433111023133120132200
5114230114034133230
62123553035152332
7136054354016633
oct17251337303640
93651316137282
101053533505440
1137688a21a979
121502222a56a8
137846a106590
1438dc4177c1a
151c611435a45
hexf54b7d87a0

1053533505440 has 96 divisors (see below), whose sum is σ = 2681584932096. Its totient is φ = 388829721600.

The previous prime is 1053533505433. The next prime is 1053533505461. The reversal of 1053533505440 is 445053353501.

It is a super-2 number, since 2×10535335054402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1053533505394 and 1053533505403.

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, 4782359 + ... + 4997801.

It is an arithmetic number, because the mean of its divisors is an integer number (27933176376).

Almost surely, 21053533505440 is an apocalyptic number.

1053533505440 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 1053533505440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340792466048).

1053533505440 is an abundant number, since it is smaller than the sum of its proper divisors (1628051426656).

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

1053533505440 is a wasteful number, since it uses less digits than its factorization.

1053533505440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217822 (or 217814 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 38.

Adding to 1053533505440 its reverse (445053353501), we get a palindrome (1498586858941).

The spelling of 1053533505440 in words is "one trillion, fifty-three billion, five hundred thirty-three million, five hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 2351 4702 9404 11755 18808 23510 30563 37616 47020 61126 75232 94040 122252 152815 188080 215443 244504 305630 376160 430886 489008 611260 861772 978016 1077215 1222520 1723544 2154430 2445040 2800759 3447088 4308860 4890080 5601518 6894176 8617720 11203036 14003795 17235440 22406072 28007590 34470880 44812144 56015180 89624288 112030360 224060720 448121440 506506493 1013012986 2026025972 2532532465 4052051944 5065064930 6584584409 8104103888 10130129860 13169168818 16208207776 20260259720 26338337636 32922922045 40520519440 52676675272 65845844090 81041038880 105353350544 131691688180 210706701088 263383376360 526766752720 1053533505440