Search a number
-
+
20120023400240 = 2456722807164587
BaseRepresentation
bin1001001001100100011101…
…10110001111111100110000
32122020110022000122222020202
410210302032312033330300
510114121301442301430
6110443002224054332
74144423636054361
oct444621666177460
978213260588222
1020120023400240
1164579437550a5
12230b48b1643a8
13b2c4052a20aa
144d7b58735b68
1524d57be0ed45
hex124c8ed8ff30

20120023400240 has 80 divisors (see below), whose sum is σ = 47479619419392. Its totient is φ = 7927494043392.

The previous prime is 20120023400189. The next prime is 20120023400263. The reversal of 20120023400240 is 4200432002102.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 122163227 + ... + 122327813.

Almost surely, 220120023400240 is an apocalyptic number.

20120023400240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20120023400240 is an abundant number, since it is smaller than the sum of its proper divisors (27359596019152).

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

20120023400240 is a wasteful number, since it uses less digits than its factorization.

20120023400240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187474 (or 187468 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 20120023400240 its reverse (4200432002102), we get a palindrome (24320455402342).

The spelling of 20120023400240 in words is "twenty trillion, one hundred twenty billion, twenty-three million, four hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 5360 22807 45614 91228 114035 164587 182456 228070 329174 364912 456140 658348 822935 912280 1316696 1528069 1645870 1824560 2633392 3056138 3291740 6112276 6583480 7640345 11027329 12224552 13166960 15280690 22054658 24449104 30561380 44109316 55136645 61122760 88218632 110273290 122245520 176437264 220546580 441093160 882186320 3753735709 7507471418 15014942836 18768678545 30029885672 37537357090 60059771344 75074714180 150149428360 251500292503 300298856720 503000585006 1006001170012 1257501462515 2012002340024 2515002925030 4024004680048 5030005850060 10060011700120 20120023400240