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1030024431344 = 241719238665571
BaseRepresentation
bin11101111110100100011…
…11011000011011110000
310122110200011200120100202
432333102033120123300
5113333442223300334
62105104154134332
7134262652131206
oct16772217303360
93573604616322
101030024431344
11367915a36617
121477611213a8
137619173604c
1437bd3c11076
151bbd75b917e
hexefd23d86f0

1030024431344 has 80 divisors (see below), whose sum is σ = 2320986804480. Its totient is φ = 439240412160.

The previous prime is 1030024431323. The next prime is 1030024431383. The reversal of 1030024431344 is 4431344200301.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4213922 + ... + 4451649.

It is an arithmetic number, because the mean of its divisors is an integer number (29012335056).

Almost surely, 21030024431344 is an apocalyptic number.

It is an amenable number.

1030024431344 is an abundant number, since it is smaller than the sum of its proper divisors (1290962373136).

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

1030024431344 is a wasteful number, since it uses less digits than its factorization.

1030024431344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8665638 (or 8665632 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 1030024431344 its reverse (4431344200301), we get a palindrome (5461368631645).

The spelling of 1030024431344 in words is "one trillion, thirty billion, twenty-four million, four hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 19 23 34 38 46 68 76 92 136 152 184 272 304 323 368 391 437 646 782 874 1292 1564 1748 2584 3128 3496 5168 6256 6992 7429 14858 29716 59432 118864 8665571 17331142 34662284 69324568 138649136 147314707 164645849 199308133 294629414 329291698 398616266 589258828 658583396 797232532 1178517656 1317166792 1594465064 2357035312 2634333584 2798979433 3188930128 3388238261 3786854527 5597958866 6776476522 7573709054 11195917732 13552953044 15147418108 22391835464 27105906088 30294836216 44783670928 54211812176 60589672432 64376526959 128753053918 257506107836 515012215672 1030024431344