Search a number
-
+
30133140400632 = 233191303239321193
BaseRepresentation
bin1101101100111111010110…
…01000010010100111111000
310221200200220100211212220110
412312133223020102213320
512422200132420310012
6144030550144024320
76230022211205433
oct666375310224770
9127620810755813
1030133140400632
119668436206705
1234680079020a0
1313a7709b15ab9
1476264796881a
15373c736b673c
hex1b67eb2129f8

30133140400632 has 128 divisors (see below), whose sum is σ = 79395504652800. Its totient is φ = 9504003704832.

The previous prime is 30133140400603. The next prime is 30133140400637. The reversal of 30133140400632 is 23600404133103.

It is a self number, because there is not a number n which added to its sum of digits gives 30133140400632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30133140400637) 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, 1421833428 + ... + 1421854620.

It is an arithmetic number, because the mean of its divisors is an integer number (620277380100).

Almost surely, 230133140400632 is an apocalyptic number.

It is an amenable number.

30133140400632 is an abundant number, since it is smaller than the sum of its proper divisors (49262364252168).

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

30133140400632 is a wasteful number, since it uses less digits than its factorization.

30133140400632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24917 (or 24913 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 30133140400632 its reverse (23600404133103), we get a palindrome (53733544533735).

The spelling of 30133140400632 in words is "thirty trillion, one hundred thirty-three billion, one hundred forty million, four hundred thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 1303 2393 2606 3909 4786 5212 7179 7818 9572 10424 14358 15636 19144 21193 24757 28716 31272 42386 45467 49514 57432 63579 74271 84772 90934 99028 127158 136401 148542 169544 181868 198056 254316 272802 297084 363736 402667 508632 545604 594168 805334 1091208 1208001 1610668 2416002 3118079 3221336 4832004 6236158 9354237 9664008 12472316 18708474 24944632 27614479 37416948 50714849 55228958 59243501 74833896 82843437 101429698 110457916 118487002 152144547 165686874 177730503 202859396 220915832 236974004 304289094 331373748 355461006 405718792 473948008 524675101 608578188 662747496 710922012 963582131 1049350202 1217156376 1421844024 1574025303 1927164262 2098700404 2890746393 3148050606 3854328524 4197400808 5781492786 6296101212 7708657048 11562985572 12592202424 23125971144 66081448247 132162896494 198244344741 264325792988 396488689482 528651585976 792977378964 1255547516693 1585954757928 2511095033386 3766642550079 5022190066772 7533285100158 10044380133544 15066570200316 30133140400632