Search a number
-
+
1054205423440 = 245132609938839
BaseRepresentation
bin11110101011100111000…
…10100010111101010000
310201210002101111020112121
433111303202202331100
5114233003042022230
62124143440504024
7136110123151351
oct17256342427520
93653071436477
101054205423440
113770a4529904
1215038b31b014
13785463929b0
14390494c1d28
151c65040c77a
hexf5738a2f50

1054205423440 has 80 divisors (see below), whose sum is σ = 2639737296000. Its totient is φ = 389220143616.

The previous prime is 1054205423431. The next prime is 1054205423459. The reversal of 1054205423440 is 443245024501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10542054234402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1054205423396 and 1054205423405.

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, 27123541 + ... + 27162379.

It is an arithmetic number, because the mean of its divisors is an integer number (32996716200).

Almost surely, 21054205423440 is an apocalyptic number.

1054205423440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1054205423440 is an abundant number, since it is smaller than the sum of its proper divisors (1585531872560).

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

1054205423440 is a wasteful number, since it uses less digits than its factorization.

1054205423440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64964 (or 64958 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

The spelling of 1054205423440 in words is "one trillion, fifty-four billion, two hundred five million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 26099 38839 52198 77678 104396 130495 155356 194195 208792 260990 310712 339287 388390 417584 504907 521980 621424 678574 776780 1009814 1043960 1357148 1553560 1696435 2019628 2087920 2524535 2714296 3107120 3392870 4039256 5049070 5428592 6785740 8078512 10098140 13571480 20196280 27142960 40392560 1013659061 2027318122 4054636244 5068295305 8109272488 10136590610 13177567793 16218544976 20273181220 26355135586 40546362440 52710271172 65887838965 81092724880 105420542344 131775677930 210841084688 263551355860 527102711720 1054205423440