Search a number
-
+
312332201201440 = 25571789115587057
BaseRepresentation
bin100011100000100001000000…
…1111001111000111100100000
31111221212200000010012020111001
41013001002001321320330200
5311414222322001421230
63024135233223001344
7122534154052225630
oct10701020171707440
91457780003166431
10312332201201440
11905783851048a2
122b0440a6299254
1310537a5304a844
14571ad600726c0
152619725e200ca
hex11c1081e78f20

312332201201440 has 96 divisors (see below), whose sum is σ = 843344132609664. Its totient is φ = 107079333826560.

The previous prime is 312332201201437. The next prime is 312332201201507. The reversal of 312332201201440 is 44102102233213.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 312332201201399 and 312332201201408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12244392 + ... + 27831448.

It is an arithmetic number, because the mean of its divisors is an integer number (8784834714684).

Almost surely, 2312332201201440 is an apocalyptic number.

It is an amenable number.

312332201201440 is an abundant number, since it is smaller than the sum of its proper divisors (531011931408224).

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

312332201201440 is a wasteful number, since it uses less digits than its factorization.

312332201201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15604970 (or 15604962 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 312332201201440 its reverse (44102102233213), we get a palindrome (356434303434653).

The spelling of 312332201201440 in words is "three hundred twelve trillion, three hundred thirty-two billion, two hundred one million, two hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 17891 35782 71564 89455 125237 143128 178910 250474 286256 357820 500948 572512 626185 715640 1001896 1252370 1431280 2003792 2504740 2862560 4007584 5009480 10018960 15587057 20037920 31174114 62348228 77935285 109109399 124696456 155870570 218218798 249392912 311741140 436437596 498785824 545546995 623482280 872875192 1091093990 1246964560 1745750384 2182187980 2493929120 3491500768 4364375960 8728751920 17457503840 278868036787 557736073574 1115472147148 1394340183935 1952076257509 2230944294296 2788680367870 3904152515018 4461888588592 5577360735740 7808305030036 8923777177184 9760381287545 11154721471480 15616610060072 19520762575090 22309442942960 31233220120144 39041525150180 44618885885920 62466440240288 78083050300360 156166100600720 312332201201440