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4040214024 = 2337112299547
BaseRepresentation
bin1111000011010000…
…1100011000001000
3101102120101010201110
43300310030120020
531233243322044
61504523450320
7202056152430
oct36064143010
911376333643
104040214024
111793660660
129490869a0
134c50617b2
142a48212c0
15189a6a6b9
hexf0d0c608

4040214024 has 128 divisors (see below), whose sum is σ = 12649190400. Its totient is φ = 1044714240.

The previous prime is 4040214011. The next prime is 4040214041. The reversal of 4040214024 is 4204120404.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418419 + ... + 427965.

It is an arithmetic number, because the mean of its divisors is an integer number (98821800).

Almost surely, 24040214024 is an apocalyptic number.

4040214024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4040214024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6324595200).

4040214024 is an abundant number, since it is smaller than the sum of its proper divisors (8608976376).

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

4040214024 is a wasteful number, since it uses less digits than its factorization.

4040214024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9803 (or 9799 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 4040214024 is about 63562.6779171551. The cubic root of 4040214024 is about 1592.7029725016.

Adding to 4040214024 its reverse (4204120404), we get a palindrome (8244334428).

The spelling of 4040214024 in words is "four billion, forty million, two hundred fourteen thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 229 231 264 308 458 462 616 687 916 924 1374 1603 1832 1848 2519 2748 3206 4809 5038 5496 6412 7557 9547 9618 10076 12824 15114 17633 19094 19236 20152 28641 30228 35266 38188 38472 52899 57282 60456 66829 70532 76376 105017 105798 114564 133658 141064 200487 210034 211596 229128 267316 315051 400974 420068 423192 534632 630102 735119 801948 840136 1260204 1470238 1603896 2186263 2205357 2520408 2940476 4372526 4410714 5880952 6558789 8745052 8821428 13117578 15303841 17490104 17642856 24048893 26235156 30607682 45911523 48097786 52470312 61215364 72146679 91823046 96195572 122430728 144293358 168342251 183646092 192391144 288586716 336684502 367292184 505026753 577173432 673369004 1010053506 1346738008 2020107012 4040214024