Search a number
-
+
34410433413040 = 24513212141152083
BaseRepresentation
bin1111101001011110011011…
…01010001111111110110000
311111211121100021021010110021
413310233031222033332300
514002240031423204130
6201103533533413224
710151033422012216
oct764571552177660
9144747307233407
1034410433413040
11aa67423646723
123a38b8063a214
131627b752a33a9
1486d68c3d2cb6
153ea1635ee37a
hex1f4bcda8ffb0

34410433413040 has 80 divisors (see below), whose sum is σ = 80102743783776. Its totient is φ = 13747239475200.

The previous prime is 34410433412941. The next prime is 34410433413073. The reversal of 34410433413040 is 4031433401443.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 34410433412987 and 34410433413005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226184839 + ... + 226336921.

Almost surely, 234410433413040 is an apocalyptic number.

It is an amenable number.

34410433413040 is an abundant number, since it is smaller than the sum of its proper divisors (45692310370736).

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

34410433413040 is a wasteful number, since it uses less digits than its factorization.

34410433413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155558 (or 155552 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 34410433413040 its reverse (4031433401443), we get a palindrome (38441866814483).

The spelling of 34410433413040 in words is "thirty-four trillion, four hundred ten billion, four hundred thirty-three million, four hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1321 2141 2642 4282 5284 6605 8564 10568 10705 13210 17128 21136 21410 26420 34256 42820 52840 85640 105680 152083 171280 304166 608332 760415 1216664 1520830 2433328 2828261 3041660 5656522 6083320 11313044 12166640 14141305 22626088 28282610 45252176 56565220 113130440 200901643 226260880 325609703 401803286 651219406 803606572 1004508215 1302438812 1607213144 1628048515 2009016430 2604877624 3214426288 3256097030 4018032860 5209755248 6512194060 8036065720 13024388120 16072131440 26048776240 430130417663 860260835326 1720521670652 2150652088315 3441043341304 4301304176630 6882086682608 8602608353260 17205216706520 34410433413040