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742242160000 = 275411843457
BaseRepresentation
bin10101100110100010001…
…01001000110110000000
32121221212010120110112101
422303101011020312000
544130102443110000
61324551545240144
7104424311155645
oct12632105106600
92557763513471
10742242160000
11266868392730
12bba27493054
1354cbabc28a3
1427cd35a5dcc
1514492837e6a
hexacd1148d80

742242160000 has 160 divisors (see below), whose sum is σ = 2015746535880. Its totient is φ = 269905920000.

The previous prime is 742242159949. The next prime is 742242160031. The reversal of 742242160000 is 61242247.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 458272 + ... + 1301728.

Almost surely, 2742242160000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742242160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007873267940).

742242160000 is an abundant number, since it is smaller than the sum of its proper divisors (1273504375880).

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

742242160000 is an equidigital number, since it uses as much as digits as its factorization.

742242160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843502 (or 843475 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The spelling of 742242160000 in words is "seven hundred forty-two billion, two hundred forty-two million, one hundred sixty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 275 320 352 400 440 500 550 625 640 704 800 880 1000 1100 1250 1375 1408 1600 1760 2000 2200 2500 2750 3200 3520 4000 4400 5000 5500 6875 7040 8000 8800 10000 11000 13750 16000 17600 20000 22000 27500 35200 40000 44000 55000 80000 88000 110000 176000 220000 440000 843457 880000 1686914 3373828 4217285 6747656 8434570 9278027 13495312 16869140 18556054 21086425 26990624 33738280 37112108 42172850 46390135 53981248 67476560 74224216 84345700 92780270 105432125 107962496 134953120 148448432 168691400 185560540 210864250 231950675 269906240 296896864 337382800 371121080 421728500 463901350 527160625 539812480 593793728 674765600 742242160 843457000 927802700 1054321250 1159753375 1187587456 1349531200 1484484320 1686914000 1855605400 2108642500 2319506750 2699062400 2968968640 3373828000 3711210800 4217285000 4639013500 5798766875 5937937280 6747656000 7422421600 8434570000 9278027000 11597533750 13495312000 14844843200 16869140000 18556054000 23195067500 29689686400 33738280000 37112108000 46390135000 67476560000 74224216000 92780270000 148448432000 185560540000 371121080000 742242160000