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1003424451440 = 24541952157457
BaseRepresentation
bin11101001101000001100…
…00100000101101110000
310112221000101010120201212
432212200300200231300
5112420003124421230
62044544500215252
7132331536052325
oct16464060405560
93487011116655
101003424451440
11357605a41a54
1214257899a528
13738128a2c78
14367cd17ab4c
151b17c1ed895
hexe9a0c20b70

1003424451440 has 80 divisors (see below), whose sum is σ = 2343059097120. Its totient is φ = 399636357120.

The previous prime is 1003424451409. The next prime is 1003424451457. The reversal of 1003424451440 is 441544243001.

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

It is a junction number, because it is equal to n+sod(n) for n = 1003424451397 and 1003424451406.

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, 17435192 + ... + 17492648.

It is an arithmetic number, because the mean of its divisors is an integer number (29288238714).

Almost surely, 21003424451440 is an apocalyptic number.

1003424451440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003424451440 is an abundant number, since it is smaller than the sum of its proper divisors (1339634645680).

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

1003424451440 is a wasteful number, since it uses less digits than its factorization.

1003424451440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58410 (or 58404 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 1003424451440 its reverse (441544243001), we get a palindrome (1444968694441).

The spelling of 1003424451440 in words is "one trillion, three billion, four hundred twenty-four million, four hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 419 521 838 1042 1676 2084 2095 2605 3352 4168 4190 5210 6704 8336 8380 10420 16760 20840 33520 41680 57457 114914 218299 229828 287285 436598 459656 574570 873196 919312 1091495 1149140 1746392 2182990 2298280 3492784 4365980 4596560 8731960 17463920 24074483 29935097 48148966 59870194 96297932 119740388 120372415 149675485 192595864 239480776 240744830 299350970 385191728 478961552 481489660 598701940 962979320 1197403880 1925958640 2394807760 12542805643 25085611286 50171222572 62714028215 100342445144 125428056430 200684890288 250856112860 501712225720 1003424451440