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40112466378820 = 22511232373924043
BaseRepresentation
bin10010001111011011010010…
…10011110100000001000100
312021000201021202021000101021
421013231221103310001010
520224200312343110240
6221151225045040524
711310013211353003
oct1107555123640104
9167021252230337
1040112466378820
11118656685a5090
1245ba0939b6144
13194c787a51804
149c964d07ac3a
1549863d5ed54a
hex247b694f4044

40112466378820 has 144 divisors (see below), whose sum is σ = 96320764596672. Its totient is φ = 13914741899520.

The previous prime is 40112466378767. The next prime is 40112466378827. The reversal of 40112466378820 is 2887366421104.

It is not an unprimeable number, because it can be changed into a prime (40112466378827) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42947719 + ... + 43871761.

It is an arithmetic number, because the mean of its divisors is an integer number (668894198588).

Almost surely, 240112466378820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40112466378820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48160382298336).

40112466378820 is an abundant number, since it is smaller than the sum of its proper divisors (56208298217852).

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

40112466378820 is a wasteful number, since it uses less digits than its factorization.

40112466378820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924482 (or 924457 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 52.

The spelling of 40112466378820 in words is "forty trillion, one hundred twelve billion, four hundred sixty-six million, three hundred seventy-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 373 460 506 529 746 1012 1058 1265 1492 1865 2116 2530 2645 3730 4103 5060 5290 5819 7460 8206 8579 10580 11638 16412 17158 20515 23276 29095 34316 41030 42895 58190 82060 85790 94369 116380 171580 188738 197317 377476 394634 471845 789268 924043 943690 986585 1848086 1887380 1973170 2170487 3696172 3946340 4340974 4620215 8681948 9240430 10164473 10852435 18480860 20328946 21252989 21704870 40657892 42505978 43409740 50822365 85011956 101644730 106264945 203289460 212529890 233782879 344668039 425059780 467565758 488818747 689336078 935131516 977637494 1168914395 1378672156 1723340195 1955274988 2337828790 2444093735 3446680390 3791348429 4675657580 4888187470 5377006217 6893360780 7582696858 7927364897 9776374940 10754012434 15165393716 15854729794 18956742145 21508024868 26885031085 31709459588 37913484290 39636824485 53770062170 75826968580 79273648970 87201013867 107540124340 158547297940 174402027734 182329392631 348804055468 364658785262 436005069335 729317570524 872010138670 911646963155 1744020277340 1823293926310 2005623318941 3646587852620 4011246637882 8022493275764 10028116594705 20056233189410 40112466378820