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2112343010440 = 23513137216113721
BaseRepresentation
bin11110101111010001011…
…101000110110010001000
321110221022211001002102121
4132233101131012302020
5234102034302313230
64254221425341024
7305416554223525
oct36572135066210
97427284032377
102112343010440
11744926619363
122a1477497774
131242682b5290
1474348cda14c
1539e30b4077a
hex1ebd1746c88

2112343010440 has 128 divisors (see below), whose sum is σ = 5158491700320. Its totient is φ = 773834342400.

The previous prime is 2112343010369. The next prime is 2112343010467. The reversal of 2112343010440 is 440103432112.

It can be written as a sum of positive squares in 16 ways, for example, as 13315775236 + 2099027235204 = 115394^2 + 1448802^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153942780 + ... + 153956500.

Almost surely, 22112343010440 is an apocalyptic number.

2112343010440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112343010440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579245850160).

2112343010440 is an abundant number, since it is smaller than the sum of its proper divisors (3046148689880).

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

2112343010440 is a wasteful number, since it uses less digits than its factorization.

2112343010440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16043 (or 16039 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 2112343010440 its reverse (440103432112), we get a palindrome (2552446442552).

The spelling of 2112343010440 in words is "two trillion, one hundred twelve billion, three hundred forty-three million, ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 137 260 274 520 548 685 1096 1370 1781 2161 2740 3562 4322 5480 7124 8644 8905 10805 13721 14248 17288 17810 21610 27442 28093 35620 43220 54884 56186 68605 71240 86440 109768 112372 137210 140465 178373 224744 274420 280930 296057 356746 548840 561860 592114 713492 891865 1123720 1184228 1426984 1480285 1783730 1879777 2368456 2960570 3567460 3759554 3848741 5921140 7134920 7519108 7697482 9398885 11842280 15038216 15394964 18797770 19243705 24437101 29651081 30789928 37595540 38487410 48874202 59302162 75191080 76974820 97748404 118604324 122185505 148255405 153949640 195496808 237208648 244371010 296510810 385464053 488742020 593021620 770928106 977484040 1186043240 1541856212 1927320265 3083712424 3854640530 4062198097 7709281060 8124396194 15418562120 16248792388 20310990485 32497584776 40621980970 52808575261 81243961940 105617150522 162487923880 211234301044 264042876305 422468602088 528085752610 1056171505220 2112343010440