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4001341014 = 23211213913217
BaseRepresentation
bin1110111001111111…
…1001111001010110
3101022212020011222100
43232133321321112
531143320403024
61501014342530
7201104560146
oct35637717126
911285204870
104001341014
11177371a800
1293805aa46
134b9ca0c08
1429d5c2926
1518643c7c9
hexee7f9e56

4001341014 has 72 divisors (see below), whose sum is σ = 9598647240. Its totient is φ = 1203713280.

The previous prime is 4001341007. The next prime is 4001341021. The reversal of 4001341014 is 4101431004.

It is an interprime number because it is at equal distance from previous prime (4001341007) and next prime (4001341021).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 296134 + ... + 309350.

It is an arithmetic number, because the mean of its divisors is an integer number (133314545).

Almost surely, 24001341014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4001341014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4799323620).

4001341014 is an abundant number, since it is smaller than the sum of its proper divisors (5597306226).

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

4001341014 is a wasteful number, since it uses less digits than its factorization.

4001341014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13386 (or 13372 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4001341014 is about 63256.1539614922. The cubic root of 4001341014 is about 1587.5784260674.

Adding to 4001341014 its reverse (4101431004), we get a palindrome (8102772018).

The spelling of 4001341014 in words is "four billion, one million, three hundred forty-one thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 139 198 242 278 363 417 726 834 1089 1251 1529 2178 2502 3058 4587 9174 13217 13761 16819 26434 27522 33638 39651 50457 79302 100914 118953 145387 151371 237906 290774 302742 436161 872322 1308483 1599257 1837163 2616966 3198514 3674326 4797771 5511489 9595542 11022978 14393313 16534467 20208793 28786626 33068934 40417586 60626379 121252758 181879137 222296723 363758274 444593446 666890169 1333780338 2000670507 4001341014