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4000424454224 = 24111071511140587
BaseRepresentation
bin111010001101101011111…
…000001110100001010000
3112011102210110101012122222
4322031223320032201100
51011020332130013344
612301434123320212
7562010150545022
oct72155370164120
915142713335588
104000424454224
11130263034a390
12547386080068
13230313a1c993
14db89b86c012
156e0d839e5ee
hex3a36be0e850

4000424454224 has 80 divisors (see below), whose sum is σ = 8540174393856. Its totient is φ = 1800175612800.

The previous prime is 4000424454223. The next prime is 4000424454227. The reversal of 4000424454224 is 4224544240004.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000424454223) 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, 28384859 + ... + 28525445.

Almost surely, 24000424454224 is an apocalyptic number.

4000424454224 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 4000424454224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4270087196928).

4000424454224 is an abundant number, since it is smaller than the sum of its proper divisors (4539749939632).

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

4000424454224 is a wasteful number, since it uses less digits than its factorization.

4000424454224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142224 (or 142218 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 35.

Adding to 4000424454224 its reverse (4224544240004), we get a palindrome (8224968694228).

The spelling of 4000424454224 in words is "four trillion, four hundred twenty-four million, four hundred fifty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 107 176 214 428 856 1177 1511 1712 2354 3022 4708 6044 9416 12088 16621 18832 24176 33242 66484 132968 140587 161677 265936 281174 323354 562348 646708 1124696 1293416 1546457 1778447 2249392 2586832 3092914 3556894 6185828 7113788 12371656 14227576 15042809 24743312 28455152 30085618 60171236 120342472 165470899 212426957 240684944 330941798 424853914 661883596 849707828 1323767192 1699415656 2336696527 2647534384 3398831312 4673393054 9346786108 18693572216 22729684399 37387144432 45459368798 90918737596 181837475192 250026528389 363674950384 500053056778 1000106113556 2000212227112 4000424454224