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2144344424320 = 27574111674349
BaseRepresentation
bin11111001101000100111…
…000110011111110000000
321120222221001100100111201
4133031010320303332000
5240113104133034240
64321033114550544
7310631565603340
oct37150470637600
97528831310451
102144344424320
1175745858524a
122a7708738454
131272981cb137
1475b0308ad20
153aba530ad9a
hex1f344e33f80

2144344424320 has 128 divisors (see below), whose sum is σ = 6001549848000. Its totient is φ = 717271941120.

The previous prime is 2144344424251. The next prime is 2144344424323. The reversal of 2144344424320 is 234244434412.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×21443444243202 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2144344424320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144344424323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5653495 + ... + 6020854.

Almost surely, 22144344424320 is an apocalyptic number.

2144344424320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2144344424320 is an abundant number, since it is smaller than the sum of its proper divisors (3857205423680).

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

2144344424320 is a wasteful number, since it uses less digits than its factorization.

2144344424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11674416 (or 11674404 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 37.

Adding to 2144344424320 its reverse (234244434412), we get a palindrome (2378588858732).

The spelling of 2144344424320 in words is "two trillion, one hundred forty-four billion, three hundred forty-four million, four hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 56 64 70 80 82 112 128 140 160 164 205 224 280 287 320 328 410 448 560 574 640 656 820 896 1120 1148 1312 1435 1640 2240 2296 2624 2870 3280 4480 4592 5248 5740 6560 9184 11480 13120 18368 22960 26240 36736 45920 91840 183680 11674349 23348698 46697396 58371745 81720443 93394792 116743490 163440886 186789584 233486980 326881772 373579168 408602215 466973960 478648309 653763544 747158336 817204430 933947920 957296618 1307527088 1494316672 1634408860 1867895840 1914593236 2393241545 2615054176 3268817720 3350538163 3735791680 3829186472 4786483090 5230108352 6537635440 6701076326 7471583360 7658372944 9572966180 10460216704 13075270880 13402152652 15316745888 16752690815 19145932360 26150541760 26804305304 30633491776 33505381630 38291864720 52301083520 53608610608 61266983552 67010763260 76583729440 107217221216 134021526520 153167458880 214434442432 268043053040 306334917760 428868884864 536086106080 1072172212160 2144344424320