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21411666611412 = 223721129114151721
BaseRepresentation
bin1001101111001010010101…
…10010000100110011010100
32210210221020212020120022120
410313211022302010303110
510301302043123031122
6113312214524455540
74336641026155200
oct467451262046324
983727225216276
1021411666611412
116905700668140
1224998839aa5b0
13bc415ac6416c
1454048a09db00
15271e7735e75c
hex13794ac84cd4

21411666611412 has 144 divisors (see below), whose sum is σ = 65587013392320. Its totient is φ = 5369696908800.

The previous prime is 21411666611411. The next prime is 21411666611431.

It is a happy number.

21411666611412 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21411666611411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56888289 + ... + 57263432.

It is an arithmetic number, because the mean of its divisors is an integer number (455465370780).

Almost surely, 221411666611412 is an apocalyptic number.

21411666611412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21411666611412 is an abundant number, since it is smaller than the sum of its proper divisors (44175346780908).

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

21411666611412 is a wasteful number, since it uses less digits than its factorization.

21411666611412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114151782 (or 114151773 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

It can be divided in two parts, 2141166 and 6611412, that added together give a palindrome (8752578).

The spelling of 21411666611412 in words is "twenty-one trillion, four hundred eleven billion, six hundred sixty-six million, six hundred eleven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 29 33 42 44 49 58 66 77 84 87 98 116 132 147 154 174 196 203 231 294 308 319 348 406 462 539 588 609 638 812 924 957 1078 1218 1276 1421 1617 1914 2156 2233 2436 2842 3234 3828 4263 4466 5684 6468 6699 8526 8932 13398 15631 17052 26796 31262 46893 62524 93786 187572 114151721 228303442 342455163 456606884 684910326 799062047 1255668931 1369820652 1598124094 2397186141 2511337862 3196248188 3310399909 3767006793 4794372282 5022675724 5593434329 6620799818 7534013586 8789682517 9588744564 9931199727 11186868658 13241599636 15068027172 16780302987 17579365034 19862399454 22373737316 23172799363 26369047551 33560605974 35158730068 36414398999 39724798908 46345598726 52738095102 61527777619 67121211948 69518398089 72828797998 92691197452 105476190204 109243196997 123055555238 139036796178 145657595996 162209595541 184583332857 218486393994 246111110476 254900792993 278073592356 324419191082 369166665714 436972787988 486628786623 509801585986 648838382164 738333331428 764702378979 973257573246 1019603171972 1529404757958 1784305550951 1946515146492 3058809515916 3568611101902 5352916652853 7137222203804 10705833305706 21411666611412