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841312213148 = 22112310738919973
BaseRepresentation
bin11000011111000100001…
…11011001100010011100
32222102120111100121112002
430033202013121202130
5102241001411310043
61442254332301432
7114532333551101
oct14174207314234
92872514317462
10841312213148
112a48868a1a10
12117075911878
1361448b51c04
142ca10d12aa8
1516d400ccbb8
hexc3e21d989c

841312213148 has 96 divisors (see below), whose sum is σ = 1696070638080. Its totient is φ = 361419703040.

The previous prime is 841312213141. The next prime is 841312213153.

It is a happy number.

841312213148 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (841312213141) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 42112490 + ... + 42132462.

It is an arithmetic number, because the mean of its divisors is an integer number (17667402480).

Almost surely, 2841312213148 is an apocalyptic number.

It is an amenable number.

841312213148 is an abundant number, since it is smaller than the sum of its proper divisors (854758424932).

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

841312213148 is a wasteful number, since it uses less digits than its factorization.

841312213148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20507 (or 20505 counting only the distinct ones).

The product of its digits is 36864, while the sum is 38.

The spelling of 841312213148 in words is "eight hundred forty-one billion, three hundred twelve million, two hundred thirteen thousand, one hundred forty-eight".

Divisors: 1 2 4 11 22 23 44 46 92 107 214 253 389 428 506 778 1012 1177 1556 2354 2461 4279 4708 4922 8558 8947 9844 17116 17894 19973 27071 35788 39946 41623 54142 79892 83246 98417 108284 166492 196834 219703 393668 439406 457853 459379 878812 915706 918758 957329 1831412 1837516 1914658 2137111 3829316 4274222 5053169 7769497 8548444 10106338 10530619 15538994 20212676 21061238 23508221 31077988 42122476 47016442 49153553 85464467 94032884 98307106 170928934 178698431 196614212 341857868 357396862 540689083 714793724 831336179 1081378166 1662672358 1965682741 2162756332 3325344716 3931365482 7862730964 9144697969 18289395938 19120732117 36578791876 38241464234 76482928468 210328053287 420656106574 841312213148