Search a number
-
+
420043321422312 = 233721164913066157
BaseRepresentation
bin101111110000001101111010…
…0111101101011000111101000
32001002020202020021121220011020
41133200123310331223013220
5420023442210241003222
64045205123221332440
7154322062035662100
oct13740336475530750
92032222207556136
10420043321422312
11111925410488495
123b13b262567120
131504bbb8a56c93
1475a22c3228200
15338645638165c
hex17e06f4f6b1e8

420043321422312 has 96 divisors (see below), whose sum is σ = 1221565441857120. Its totient is φ = 120011308179840.

The previous prime is 420043321422299. The next prime is 420043321422427. The reversal of 420043321422312 is 213224123340024.

It is a happy number.

It is a super-2 number, since 2×4200433214223122 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135460338 + ... + 138526494.

It is an arithmetic number, because the mean of its divisors is an integer number (12724640019345).

Almost surely, 2420043321422312 is an apocalyptic number.

420043321422312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

420043321422312 is an abundant number, since it is smaller than the sum of its proper divisors (801522120434808).

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

420043321422312 is a wasteful number, since it uses less digits than its factorization.

420043321422312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3182671 (or 3182660 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 420043321422312 its reverse (213224123340024), we get a palindrome (633267444762336).

The spelling of 420043321422312 in words is "four hundred twenty trillion, forty-three billion, three hundred twenty-one million, four hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 116491 232982 349473 465964 698946 815437 931928 1397892 1630874 2446311 2795784 3066157 3261748 4892622 5708059 6132314 6523496 9198471 9785244 11416118 12264628 17124177 18396942 19570488 21463099 22832236 24529256 34248354 36793884 42926198 45664472 64389297 68496708 73587768 85852396 128778594 136993416 150241693 171704792 257557188 300483386 450725079 515114376 600966772 901450158 1201933544 1802900316 3605800632 357179695087 714359390174 1071539085261 1428718780348 2143078170522 2500257865609 2857437560696 4286156341044 5000515731218 7500773596827 8572312682088 10001031462436 15001547193654 17501805059263 20002062924872 30003094387308 35003610118526 52505415177789 60006188774616 70007220237052 105010830355578 140014440474104 210021660711156 420043321422312