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354443242112 = 27232115231091
BaseRepresentation
bin1010010100001100111…
…01101010101010000000
31020212212202111021200122
411022012131222222000
521301344432221422
6430455020435412
734415301563621
oct5120635525200
91225782437618
10354443242112
11127355a73973
125883a3a8b68
1327568291a7b
1413225a05a48
15934717ed42
hex528676aa80

354443242112 has 128 divisors (see below), whose sum is σ = 742405547520. Its totient is φ = 168236006400.

The previous prime is 354443242057. The next prime is 354443242121. The reversal of 354443242112 is 211242344453.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324878687 + ... + 324879777.

It is an arithmetic number, because the mean of its divisors is an integer number (5800043340).

Almost surely, 2354443242112 is an apocalyptic number.

354443242112 is a gapful number since it is divisible by the number (32) 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 354443242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371202773760).

354443242112 is an abundant number, since it is smaller than the sum of its proper divisors (387962305408).

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

354443242112 is a wasteful number, since it uses less digits than its factorization.

354443242112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862 (or 1850 counting only the distinct ones).

The product of its digits is 92160, while the sum is 35.

Adding to 354443242112 its reverse (211242344453), we get a palindrome (565685586565).

The spelling of 354443242112 in words is "three hundred fifty-four billion, four hundred forty-three million, two hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 211 368 422 523 736 844 1046 1091 1472 1688 2092 2182 2944 3376 4184 4364 4853 6752 8368 8728 9706 12029 13504 16736 17456 19412 24058 25093 27008 33472 34912 38824 48116 50186 66944 69824 77648 96232 100372 110353 139648 155296 192464 200744 220706 230201 310592 384928 401488 441412 460402 570593 621184 769856 802976 882824 920804 1141186 1539712 1605952 1765648 1841608 2282372 2538119 3211904 3531296 3683216 4564744 5076238 5294623 7062592 7366432 9129488 10152476 10589246 13123639 14125184 14732864 18258976 20304952 21178492 26247278 29465728 36517952 40609904 42356984 52494556 73035904 81219808 84713968 104989112 120395123 162439616 169427936 209978224 240790246 324879232 338855872 419956448 481580492 677711744 839912896 963160984 1679825792 1926321968 2769087829 3852643936 5538175658 7705287872 11076351316 15410575744 22152702632 44305405264 88610810528 177221621056 354443242112