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4145403144 = 233299196481
BaseRepresentation
bin1111011100010101…
…1101010100001000
3101200220022022001210
43313011131110020
531442210400034
61523202213120
7204504226311
oct36705352410
911626268053
104145403144
111837a76813
129783541a0
13510aa118c
142b47a3608
15193de78e9
hexf715d508

4145403144 has 64 divisors (see below), whose sum is σ = 10734192000. Its totient is φ = 1332495360.

The previous prime is 4145403121. The next prime is 4145403187. The reversal of 4145403144 is 4413045414.

4145403144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 636384 + ... + 642864.

It is an arithmetic number, because the mean of its divisors is an integer number (167721750).

Almost surely, 24145403144 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 4145403144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5367096000).

4145403144 is an abundant number, since it is smaller than the sum of its proper divisors (6588788856).

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

4145403144 is a wasteful number, since it uses less digits than its factorization.

4145403144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7438 (or 7434 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 4145403144 is about 64384.8052260780. The cubic root of 4145403144 is about 1606.4070106799.

Adding to 4145403144 its reverse (4413045414), we get a palindrome (8558448558).

The spelling of 4145403144 in words is "four billion, one hundred forty-five million, four hundred three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 919 1838 2757 3676 5514 6481 7352 11028 12962 19443 22056 25924 26651 38886 51848 53302 77772 79953 106604 155544 159906 187949 213208 319812 375898 563847 639624 751796 1127694 1503592 2255388 4510776 5956039 11912078 17868117 23824156 35736234 47648312 71472468 142944936 172725131 345450262 518175393 690900524 1036350786 1381801048 2072701572 4145403144