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2242143405120 = 263517471336901
BaseRepresentation
bin100000101000001010001…
…010010100010001000000
321221100100211101100000210
4200220022022110101000
5243213402202430440
64434005414314120
7320663255326263
oct40501212242100
97840324340023
102242143405120
11794984555013
12302661358940
13133582a10348
147a73da86cda
153d4cb1c6a80
hex20a0a294440

2242143405120 has 112 divisors (see below), whose sum is σ = 7122885513408. Its totient is φ = 597562214400.

The previous prime is 2242143405083. The next prime is 2242143405193. The reversal of 2242143405120 is 215043412422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1008670 + ... + 2345570.

It is an arithmetic number, because the mean of its divisors is an integer number (63597192084).

Almost surely, 22242143405120 is an apocalyptic number.

2242143405120 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 2242143405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3561442756704).

2242143405120 is an abundant number, since it is smaller than the sum of its proper divisors (4880742108288).

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

2242143405120 is a wasteful number, since it uses less digits than its factorization.

2242143405120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338668 (or 1338658 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 2242143405120 its reverse (215043412422), we get a palindrome (2457186817542).

The spelling of 2242143405120 in words is "two trillion, two hundred forty-two billion, one hundred forty-three million, four hundred five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1747 3494 5241 6988 8735 10482 13976 17470 20964 26205 27952 34940 41928 52410 55904 69880 83856 104820 111808 139760 167712 209640 279520 335424 419280 559040 838560 1336901 1677120 2673802 4010703 5347604 6684505 8021406 10695208 13369010 16042812 20053515 21390416 26738020 32085624 40107030 42780832 53476040 64171248 80214060 85561664 106952080 128342496 160428120 213904160 256684992 320856240 427808320 641712480 1283424960 2335566047 4671132094 7006698141 9342264188 11677830235 14013396282 18684528376 23355660470 28026792564 35033490705 37369056752 46711320940 56053585128 70066981410 74738113504 93422641880 112107170256 140133962820 149476227008 186845283760 224214340512 280267925640 373690567520 448428681024 560535851280 747381135040 1121071702560 2242143405120