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4155121440 = 2532513920759
BaseRepresentation
bin1111011110101010…
…0001111100100000
3101201120121001001200
43313222201330200
532002202341230
61524150401200
7204652643451
oct36752417440
911646531050
104155121440
111842504268
1297b660200
13512ac4752
142b5bb3128
15194bb7160
hexf7aa1f20

4155121440 has 144 divisors (see below), whose sum is σ = 14282049600. Its totient is φ = 1100007936.

The previous prime is 4155121331. The next prime is 4155121459. The reversal of 4155121440 is 441215514.

4155121440 is a `hidden beast` number, since 4 + 1 + 5 + 512 + 144 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×41551214402 = 34530068362295347200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189781 + ... + 210539.

It is an arithmetic number, because the mean of its divisors is an integer number (99180900).

Almost surely, 24155121440 is an apocalyptic number.

4155121440 is a gapful number since it is divisible by the number (40) 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 4155121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7141024800).

4155121440 is an abundant number, since it is smaller than the sum of its proper divisors (10126928160).

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

4155121440 is a wasteful number, since it uses less digits than its factorization.

4155121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20919 (or 20908 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 4155121440 is about 64460.2314609558. The cubic root of 4155121440 is about 1607.6613603363.

Adding to 4155121440 its reverse (441215514), we get a palindrome (4596336954).

The spelling of 4155121440 in words is "four billion, one hundred fifty-five million, one hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 139 144 160 180 240 278 288 360 417 480 556 695 720 834 1112 1251 1390 1440 1668 2085 2224 2502 2780 3336 4170 4448 5004 5560 6255 6672 8340 10008 11120 12510 13344 16680 20016 20759 22240 25020 33360 40032 41518 50040 62277 66720 83036 100080 103795 124554 166072 186831 200160 207590 249108 311385 332144 373662 415180 498216 622770 664288 747324 830360 934155 996432 1245540 1494648 1660720 1868310 1992864 2491080 2885501 2989296 3321440 3736620 4982160 5771002 5978592 7473240 8656503 9964320 11542004 14427505 14946480 17313006 23084008 25969509 28855010 29892960 34626012 43282515 46168016 51939018 57710020 69252024 86565030 92336032 103878036 115420040 129847545 138504048 173130060 207756072 230840080 259695090 277008096 346260120 415512144 461680160 519390180 692520240 831024288 1038780360 1385040480 2077560720 4155121440