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31440033030 = 23572910947363
BaseRepresentation
bin11101010001111110…
…001101010100000110
310000011002222011022210
4131101332031110012
51003342122024110
622235433004250
72162053604610
oct352176152406
9100132864283
1031440033030
111237409617a
126115253686
132c7081c453
1417437bbdb0
15c4027a520
hex751f8d506

31440033030 has 128 divisors (see below), whose sum is σ = 90029491200. Its totient is φ = 6874689024.

The previous prime is 31440033029. The next prime is 31440033049. The reversal of 31440033030 is 3033004413.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31440032988 and 31440033006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 640129 + ... + 687491.

It is an arithmetic number, because the mean of its divisors is an integer number (703355400).

Almost surely, 231440033030 is an apocalyptic number.

31440033030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31440033030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45014745600).

31440033030 is an abundant number, since it is smaller than the sum of its proper divisors (58589458170).

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

31440033030 is a wasteful number, since it uses less digits than its factorization.

31440033030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47518.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 31440033030 its reverse (3033004413), we get a palindrome (34473037443).

The spelling of 31440033030 in words is "thirty-one billion, four hundred forty million, thirty-three thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 109 145 174 203 210 218 290 327 406 435 545 609 654 763 870 1015 1090 1218 1526 1635 2030 2289 3045 3161 3270 3815 4578 6090 6322 7630 9483 11445 15805 18966 22127 22890 31610 44254 47363 47415 66381 94726 94830 110635 132762 142089 221270 236815 284178 331541 331905 473630 663082 663810 710445 994623 1373527 1420890 1657705 1989246 2747054 3315410 4120581 4973115 5162567 6867635 8241162 9614689 9946230 10325134 13735270 15487701 19229378 20602905 25812835 28844067 30975402 36137969 41205810 48073445 51625670 57688134 72275938 77438505 96146890 108413907 144220335 149714443 154877010 180689845 216827814 288440670 299428886 361379690 449143329 542069535 748572215 898286658 1048001101 1084139070 1497144430 2096002202 2245716645 3144003303 4491433290 5240005505 6288006606 10480011010 15720016515 31440033030