Search a number
-
+
4412225230424 = 231137367210061
BaseRepresentation
bin100000000110100110100…
…0111100001011001011000
3120121210201120012010022222
41000031031013201121120
51034242214124333144
613214540455203212
7633526024440254
oct100151507413130
916553646163288
104412225230424
11145123a130590
125b3151376508
132600c014a91b
141137a4dcd264
1579b8acb42ee
hex4034d1e1658

4412225230424 has 96 divisors (see below), whose sum is σ = 9295173772560. Its totient is φ = 1945842220800.

The previous prime is 4412225230411. The next prime is 4412225230447. The reversal of 4412225230424 is 4240325222144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 438542354 + ... + 438552414.

Almost surely, 24412225230424 is an apocalyptic number.

4412225230424 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 4412225230424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4647586886280).

4412225230424 is an abundant number, since it is smaller than the sum of its proper divisors (4882948542136).

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

4412225230424 is a wasteful number, since it uses less digits than its factorization.

4412225230424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10849 (or 10478 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 35.

The spelling of 4412225230424 in words is "four trillion, four hundred twelve billion, two hundred twenty-five million, two hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 37 44 74 88 148 296 367 407 734 814 1468 1628 2936 3256 4037 8074 10061 13579 16148 20122 27158 32296 40244 54316 80488 108632 110671 134689 149369 221342 269378 298738 372257 442684 538756 597476 744514 885368 1077512 1194952 1481579 1489028 2963158 2978056 3692387 4094827 4983493 5926316 7384774 8189654 9966986 11852632 14769548 16379308 19933972 29539096 32758616 39867944 40616257 54818423 81232514 109636846 136618319 162465028 219273692 273236638 324930056 438547384 546473276 1092946552 1355106029 1502801509 2710212058 3005603018 5420424116 6011206036 10840848232 12022412072 14906166319 29812332638 50138923073 59624665276 100277846146 119249330552 200555692292 401111384584 551528153803 1103056307606 2206112615212 4412225230424