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4002240102 = 2375911314293
BaseRepresentation
bin1110111010001101…
…0101011001100110
3101022220220212021220
43232203111121212
531144033140402
61501045521210
7201115323330
oct35643253146
911286825256
104002240102
111774184253
12938413206
134ba227213
1429d778450
15186568dbc
hexee8d5666

4002240102 has 64 divisors (see below), whose sum is σ = 9386012160. Its totient is φ = 1114089984.

The previous prime is 4002240083. The next prime is 4002240107. The reversal of 4002240102 is 2010422004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002240107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272868 + ... + 287160.

It is an arithmetic number, because the mean of its divisors is an integer number (146656440).

Almost surely, 24002240102 is an apocalyptic number.

4002240102 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 4002240102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4693006080).

4002240102 is an abundant number, since it is smaller than the sum of its proper divisors (5383772058).

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

4002240102 is a wasteful number, since it uses less digits than its factorization.

4002240102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14477.

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4002240102 is about 63263.2602858879. The cubic root of 4002240102 is about 1587.6973250242.

Adding to 4002240102 its reverse (2010422004), we get a palindrome (6012662106).

The spelling of 4002240102 in words is "four billion, two million, two hundred forty thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 42 59 113 118 177 226 339 354 413 678 791 826 1239 1582 2373 2478 4746 6667 13334 14293 20001 28586 40002 42879 46669 85758 93338 100051 140007 200102 280014 300153 600306 843287 1615109 1686574 2529861 3230218 4845327 5059722 5903009 9690654 11305763 11806018 17709027 22611526 33917289 35418054 67834578 95291431 190582862 285874293 571748586 667040017 1334080034 2001120051 4002240102