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4002012141 = 313143123627
BaseRepresentation
bin1110111010001001…
…1101101111101101
3101022220111021120220
43232202131233231
531144003342031
61501041001553
7201113353611
oct35642355755
911286437526
104002012141
111774038a56
129383232b9
134ba17752a
1429d719341
15186521596
hexee89dbed

4002012141 has 16 divisors (see below), whose sum is σ = 5389452288. Its totient is φ = 2641386800.

The previous prime is 4002012103. The next prime is 4002012169. The reversal of 4002012141 is 1412102004.

It is a cyclic number.

It is not a de Polignac number, because 4002012141 - 217 = 4001881069 is a prime.

It is a super-2 number, since 2×40020121412 = 32032202353422807762, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4002012141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002010141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157570 + ... + 181196.

It is an arithmetic number, because the mean of its divisors is an integer number (336840768).

Almost surely, 24002012141 is an apocalyptic number.

It is an amenable number.

4002012141 is a deficient number, since it is larger than the sum of its proper divisors (1387440147).

4002012141 is a wasteful number, since it uses less digits than its factorization.

4002012141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24192.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4002012141 is about 63261.4585747120. The cubic root of 4002012141 is about 1587.6671802442.

Adding to 4002012141 its reverse (1412102004), we get a palindrome (5414114145).

The spelling of 4002012141 in words is "four billion, two million, twelve thousand, one hundred forty-one".

Divisors: 1 3 131 393 431 1293 23627 56461 70881 169383 3095137 9285411 10183237 30549711 1334004047 4002012141