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41212021214 = 271317431013067
BaseRepresentation
bin100110011000011011…
…011000100111011110
310221101010200121001002
4212120123120213132
51133400234134324
630533232350302
72656162254230
oct463033304736
9127333617032
1041212021214
1116529125571
127ba19a5392
133b6a1c5590
141dcd54a250
1511130e93ae
hex9986d89de

41212021214 has 128 divisors (see below), whose sum is σ = 83276024832. Its totient is φ = 14834534400.

The previous prime is 41212021189. The next prime is 41212021223.

41212021214 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13435709 + ... + 13438775.

It is an arithmetic number, because the mean of its divisors is an integer number (650593944).

Almost surely, 241212021214 is an apocalyptic number.

41212021214 is an abundant number, since it is smaller than the sum of its proper divisors (42064003618).

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

41212021214 is a wasteful number, since it uses less digits than its factorization.

41212021214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3250.

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 412120 and 21214, that added together give a palindrome (433334).

The spelling of 41212021214 in words is "forty-one billion, two hundred twelve million, twenty-one thousand, two hundred fourteen".

Divisors: 1 2 7 13 14 17 26 34 43 86 91 101 119 182 202 221 238 301 442 559 602 707 731 1118 1313 1414 1462 1547 1717 2626 3067 3094 3434 3913 4343 5117 6134 7826 8686 9191 9503 10234 12019 18382 19006 21469 22321 24038 30401 39871 42938 44642 52139 56459 60802 66521 73831 79742 104278 112918 131881 133042 147662 156247 263762 279097 309767 312494 364973 395213 516817 558194 619534 677807 729946 790426 923167 959803 1033634 1355614 1714453 1846334 1919606 2168369 2241977 3428906 4026971 4336738 4483954 4744649 5266039 6718621 8053942 9489298 10532078 12001171 13319981 13437242 15693839 24002342 26639962 28188797 29145701 31387678 36862273 56377594 58291402 68458507 73724546 93239867 136917014 173159753 186479734 204019907 226439677 346319506 408039814 452879354 479209549 958419098 1212118271 1585077739 2424236542 2943715801 3170155478 5887431602 20606010607 41212021214