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4214140104 = 233296199259
BaseRepresentation
bin1111101100101110…
…1010110011001000
3101212200122111110010
43323023222303020
532112304440404
61534055351520
7206300412516
oct37313526310
911780574403
104214140104
111872854919
129973825a0
135220b9b35
142bd9774b6
15199e74189
hexfb2eacc8

4214140104 has 64 divisors (see below), whose sum is σ = 11077416000. Its totient is φ = 1334027520.

The previous prime is 4214140103. The next prime is 4214140111. The reversal of 4214140104 is 4010414124.

It is a super-2 number, since 2×42141401042 = 35517953632282261632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4214140103) 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, 7174 + ... + 92085.

It is an arithmetic number, because the mean of its divisors is an integer number (173084625).

Almost surely, 24214140104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4214140104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5538708000).

4214140104 is an abundant number, since it is smaller than the sum of its proper divisors (6863275896).

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

4214140104 is a wasteful number, since it uses less digits than its factorization.

4214140104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99358 (or 99354 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4214140104 is about 64916.4085882760. The cubic root of 4214140104 is about 1615.2372566603.

Adding to 4214140104 its reverse (4010414124), we get a palindrome (8224554228).

The spelling of 4214140104 in words is "four billion, two hundred fourteen million, one hundred forty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 29 58 61 87 116 122 174 183 232 244 348 366 488 696 732 1464 1769 3538 5307 7076 10614 14152 21228 42456 99259 198518 297777 397036 595554 794072 1191108 2382216 2878511 5757022 6054799 8635533 11514044 12109598 17271066 18164397 23028088 24219196 34542132 36328794 48438392 69084264 72657588 145315176 175589171 351178342 526767513 702356684 1053535026 1404713368 2107070052 4214140104