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4014313002 = 2327371495779
BaseRepresentation
bin1110111101000101…
…1000111000101010
3101100202122020012100
43233101120320222
531210131004002
61502200354230
7201323045310
oct35721307052
911322566170
104014313002
11177aa7a857
12940475976
134bc89344b
142a11dc0b0
1518765111c
hexef458e2a

4014313002 has 96 divisors (see below), whose sum is σ = 10279152000. Its totient is φ = 1108266624.

The previous prime is 4014312983. The next prime is 4014313021. The reversal of 4014313002 is 2003134104.

It is an interprime number because it is at equal distance from previous prime (4014312983) and next prime (4014313021).

It is a super-2 number, since 2×40143130022 = 32229417756052504008, which contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 691749 + ... + 697527.

It is an arithmetic number, because the mean of its divisors is an integer number (107074500).

Almost surely, 24014313002 is an apocalyptic number.

4014313002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4014313002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5139576000).

4014313002 is an abundant number, since it is smaller than the sum of its proper divisors (6264838998).

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

4014313002 is a wasteful number, since it uses less digits than its factorization.

4014313002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5980 (or 5977 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4014313002 is about 63358.6063767189. The cubic root of 4014313002 is about 1589.2921709954.

Adding to 4014313002 its reverse (2003134104), we get a palindrome (6017447106).

The spelling of 4014313002 in words is "four billion, fourteen million, three hundred thirteen thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 149 222 259 298 333 447 518 666 777 894 1043 1341 1554 2086 2331 2682 3129 4662 5513 5779 6258 9387 11026 11558 16539 17337 18774 33078 34674 38591 40453 49617 52011 77182 80906 99234 104022 115773 121359 213823 231546 242718 347319 364077 427646 641469 694638 728154 861071 1282938 1496761 1722142 1924407 2583213 2993522 3848814 4490283 5166426 6027497 7749639 8980566 12054994 13470849 15499278 18082491 26941698 31859627 36164982 54247473 63719254 95578881 108494946 191157762 223017389 286736643 446034778 573473286 669052167 1338104334 2007156501 4014313002