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1432413004440 = 2335112347180929
BaseRepresentation
bin10100110110000010011…
…101111110001010011000
312001221022022210000122210
4110312002131332022120
5141432040212120230
63014012541515120
7205326346434165
oct24660235761230
95057268700583
101432413004440
11502534886270
121b1740272aa0
13a50cab8bb42
144d4872db06c
15273d8a2ceb0
hex14d8277e298

1432413004440 has 128 divisors (see below), whose sum is σ = 4891718822400. Its totient is φ = 332153733120.

The previous prime is 1432413004439. The next prime is 1432413004459. The reversal of 1432413004440 is 444003142341.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1432413004398 and 1432413004407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23560105 + ... + 23620824.

It is an arithmetic number, because the mean of its divisors is an integer number (38216553300).

Almost surely, 21432413004440 is an apocalyptic number.

1432413004440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1432413004440 is an abundant number, since it is smaller than the sum of its proper divisors (3459305817960).

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

1432413004440 is a wasteful number, since it uses less digits than its factorization.

1432413004440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47180977 (or 47180973 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 1432413004440 its reverse (444003142341), we get a palindrome (1876416146781).

The spelling of 1432413004440 in words is "one trillion, four hundred thirty-two billion, four hundred thirteen million, four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 23 24 30 33 40 44 46 55 60 66 69 88 92 110 115 120 132 138 165 184 220 230 253 264 276 330 345 440 460 506 552 660 690 759 920 1012 1265 1320 1380 1518 2024 2530 2760 3036 3795 5060 6072 7590 10120 15180 30360 47180929 94361858 141542787 188723716 235904645 283085574 377447432 471809290 518990219 566171148 707713935 943618580 1037980438 1085161367 1132342296 1415427870 1556970657 1887237160 2075960876 2170322734 2594951095 2830855740 3113941314 3255484101 4151921752 4340645468 5189902190 5425806835 5661711480 6227882628 6510968202 7784853285 8681290936 10379804380 10851613670 11936775037 12455765256 13021936404 15569706570 16277420505 20759608760 21703227340 23873550074 26043872808 31139413140 32554841010 35810325111 43406454680 47747100148 59683875185 62278826280 65109682020 71620650222 95494200296 119367750370 130219364040 143241300444 179051625555 238735500740 286482600888 358103251110 477471001480 716206502220 1432413004440