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4101013314 = 23519444121
BaseRepresentation
bin1111010001110000…
…0111111101000010
3101120210210001200000
43310130013331002
531344324411224
61514534540430
7203425016016
oct36434077502
911523701600
104101013314
111814a08002
12965507716
1350482b4c8
142ac92a546
1519007a0c9
hexf4707f42

4101013314 has 48 divisors (see below), whose sum is σ = 9699624480. Its totient is φ = 1295053920.

The previous prime is 4101013313. The next prime is 4101013339. The reversal of 4101013314 is 4133101014.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4101013313) by changing a digit.

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, 212827 + ... + 231294.

It is an arithmetic number, because the mean of its divisors is an integer number (202075510).

Almost surely, 24101013314 is an apocalyptic number.

4101013314 is an abundant number, since it is smaller than the sum of its proper divisors (5598611166).

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

4101013314 is a wasteful number, since it uses less digits than its factorization.

4101013314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444157 (or 444145 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4101013314 is about 64039.1545384541. The cubic root of 4101013314 is about 1600.6525091191.

Adding to 4101013314 its reverse (4133101014), we get a palindrome (8234114328).

The spelling of 4101013314 in words is "four billion, one hundred one million, thirteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 513 1026 1539 3078 4617 9234 444121 888242 1332363 2664726 3997089 7994178 8438299 11991267 16876598 23982534 25314897 35973801 50629794 71947602 75944691 107921403 151889382 215842806 227834073 455668146 683502219 1367004438 2050506657 4101013314