Search a number
-
+
1430242435040 = 25580531110023
BaseRepresentation
bin10100110100000001000…
…101111001111111100000
312001201201001110200012112
4110310001011321333200
5141413114030410130
63013013323014452
7205221512052416
oct24640105717740
95051631420175
101430242435040
11501620628361
121b123536a428
13a4b43293253
144d31cd212b6
152730d1c6495
hex14d01179fe0

1430242435040 has 48 divisors (see below), whose sum is σ = 3379370385888. Its totient is φ = 572025417216.

The previous prime is 1430242435001. The next prime is 1430242435049. The reversal of 1430242435040 is 405342420341.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1430242434988 and 1430242435006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1430242435049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 733469 + ... + 1843491.

It is an arithmetic number, because the mean of its divisors is an integer number (70403549706).

Almost surely, 21430242435040 is an apocalyptic number.

1430242435040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1430242435040 is an abundant number, since it is smaller than the sum of its proper divisors (1949127950848).

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

1430242435040 is a wasteful number, since it uses less digits than its factorization.

1430242435040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118091 (or 1118083 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 1430242435040 its reverse (405342420341), we get a palindrome (1835584855381).

The spelling of 1430242435040 in words is "one trillion, four hundred thirty billion, two hundred forty-two million, four hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 8053 16106 32212 40265 64424 80530 128848 161060 257696 322120 644240 1110023 1288480 2220046 4440092 5550115 8880184 11100230 17760368 22200460 35520736 44400920 88801840 177603680 8939015219 17878030438 35756060876 44695076095 71512121752 89390152190 143024243504 178780304380 286048487008 357560608760 715121217520 1430242435040