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155224141440 = 2735191423277
BaseRepresentation
bin1001000010010000010…
…1000110111010000000
3112211122211121101200120
42100210011012322000
510020344340011230
6155150424020240
714133412301214
oct2204405067200
9484584541616
10155224141440
115a914a87a15
1226100301680
1311839998804
14772751a944
15408755d310
hex2424146e80

155224141440 has 128 divisors (see below), whose sum is σ = 497368581120. Its totient is φ = 41176289280.

The previous prime is 155224141417. The next prime is 155224141441. The reversal of 155224141440 is 44141422551.

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

It is not an unprimeable number, because it can be changed into a prime (155224141441) 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, 155082 + ... + 578358.

It is an arithmetic number, because the mean of its divisors is an integer number (3885692040).

Almost surely, 2155224141440 is an apocalyptic number.

155224141440 is a gapful number since it is divisible by the number (10) 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 155224141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248684290560).

155224141440 is an abundant number, since it is smaller than the sum of its proper divisors (342144439680).

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

155224141440 is a wasteful number, since it uses less digits than its factorization.

155224141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423490 (or 423478 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

Adding to 155224141440 its reverse (44141422551), we get a palindrome (199365563991).

The spelling of 155224141440 in words is "one hundred fifty-five billion, two hundred twenty-four million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 191 192 240 320 382 384 480 573 640 764 955 960 1146 1528 1910 1920 2292 2865 3056 3820 4584 5730 6112 7640 9168 11460 12224 15280 18336 22920 24448 30560 36672 45840 61120 73344 91680 122240 183360 366720 423277 846554 1269831 1693108 2116385 2539662 3386216 4232770 5079324 6349155 6772432 8465540 10158648 12698310 13544864 16931080 20317296 25396620 27089728 33862160 40634592 50793240 54179456 67724320 80845907 81269184 101586480 135448640 161691814 162538368 203172960 242537721 270897280 323383628 404229535 406345920 485075442 646767256 808459070 812691840 970150884 1212688605 1293534512 1616918140 1940301768 2425377210 2587069024 3233836280 3880603536 4850754420 5174138048 6467672560 7761207072 9701508840 10348276096 12935345120 15522414144 19403017680 25870690240 31044828288 38806035360 51741380480 77612070720 155224141440