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411212004412 = 221117271563809
BaseRepresentation
bin1011111101111100010…
…01010011110000111100
31110022102001221012121111
411332332021103300330
523214130233120122
6512524100211404
741465134236346
oct5767611236074
91408361835544
10411212004412
11149437502250
1267842099b64
132ca14463c91
1415c8d29c296
15aa6adb3d77
hex5fbe253c3c

411212004412 has 144 divisors (see below), whose sum is σ = 848231274240. Its totient is φ = 172919756800.

The previous prime is 411212004407. The next prime is 411212004419. The reversal of 411212004412 is 214400212114.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411212004419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 508296264 + ... + 508297072.

It is an arithmetic number, because the mean of its divisors is an integer number (5890494960).

Almost surely, 2411212004412 is an apocalyptic number.

It is an amenable number.

411212004412 is an abundant number, since it is smaller than the sum of its proper divisors (437019269828).

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

411212004412 is a wasteful number, since it uses less digits than its factorization.

411212004412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 411212004412 its reverse (214400212114), we get a palindrome (625612216526).

The spelling of 411212004412 in words is "four hundred eleven billion, two hundred twelve million, four thousand, four hundred twelve".

Divisors: 1 2 4 11 17 22 34 44 68 71 142 187 284 289 374 563 578 748 781 809 1126 1156 1207 1562 1618 2252 2414 3124 3179 3236 4828 6193 6358 8899 9571 12386 12716 13277 13753 17798 19142 20519 24772 26554 27506 35596 38284 39973 41038 53108 55012 57439 79946 82076 105281 114878 151283 159892 162707 210562 225709 229756 233801 302566 325414 421124 439703 451418 455467 467602 605132 631829 650828 679541 879406 902836 910934 935204 976463 1263658 1359082 1758812 1789777 1821868 1952926 2527316 2571811 2718164 3579554 3905852 5010137 5143622 7159108 7474951 7742939 10020274 10287244 10741093 11552197 14949902 15485878 16599871 20040548 21482186 23104394 29899804 30971756 32338157 33199742 42964372 46208788 64676314 66399484 85172329 127074167 129352628 131629963 170344658 182598581 254148334 263259926 340689316 355719727 365197162 508296668 526519852 549748669 711439454 730394324 1099497338 1422878908 1447929593 2198994676 2895859186 5791718372 6047235359 9345727373 12094470718 18691454746 24188941436 37382909492 102803001103 205606002206 411212004412