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30104313441432 = 233411091132483869
BaseRepresentation
bin1101101100001001101001…
…11010001010110010011000
310221120221111100211121222220
412312010310322022302120
512421212113220111212
6144005421454144040
76224651644122546
oct666046472126230
9127527440747886
1030104313441432
11965719313558a
1234625017b2020
1313a4a947962a9
147610b1232d96
15373137a5038c
hex1b6134e8ac98

30104313441432 has 128 divisors (see below), whose sum is σ = 78492279096000. Its totient is φ = 9614357544960.

The previous prime is 30104313441343. The next prime is 30104313441439. The reversal of 30104313441432 is 23414431340103.

It is a junction number, because it is equal to n+sod(n) for n = 30104313441393 and 30104313441402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30104313441439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10877994 + ... + 13361862.

Almost surely, 230104313441432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30104313441432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39246139548000).

30104313441432 is an abundant number, since it is smaller than the sum of its proper divisors (48387965654568).

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

30104313441432 is a wasteful number, since it uses less digits than its factorization.

30104313441432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484141 (or 2484137 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 30104313441432 its reverse (23414431340103), we get a palindrome (53518744781535).

The spelling of 30104313441432 in words is "thirty trillion, one hundred four billion, three hundred thirteen million, four hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 109 113 123 164 218 226 246 327 328 339 436 452 492 654 678 872 904 984 1308 1356 2616 2712 4469 4633 8938 9266 12317 13407 13899 17876 18532 24634 26814 27798 35752 36951 37064 49268 53628 55596 73902 98536 107256 111192 147804 295608 504997 1009994 1514991 2019988 2483869 3029982 4039976 4967738 6059964 7451607 9935476 12119928 14903214 19870952 29806428 59612856 101838629 203677258 270741721 280677197 305515887 407354516 541483442 561354394 611031774 812225163 814709032 842031591 1082966884 1122708788 1222063548 1624450326 1684063182 2165933768 2245417576 2444127096 3248900652 3368126364 6497801304 6736252728 11100410561 11507765077 22200821122 23015530154 30593814473 33301231683 34523295231 44401642244 46031060308 61187628946 66602463366 69046590462 88803284488 91781443419 92062120616 122375257892 133204926732 138093180924 183562886838 244750515784 266409853464 276186361848 367125773676 734251547352 1254346393393 2508692786786 3763039180179 5017385573572 7526078360358 10034771147144 15052156720716 30104313441432