Search a number
-
+
4414001104440 = 2332571172691749
BaseRepresentation
bin100000000111011011011…
…1101111100011000111000
3120121222022022210212111200
41000032312331330120320
51034304333240320230
613215433014254200
7633621030222444
oct100166675743070
916558268725450
104414001104440
111451a70606a64
125b3568057360
13260314041555
141138d2bc5824
1579c41b54160
hex403b6f7c638

4414001104440 has 96 divisors (see below), whose sum is σ = 14547553020000. Its totient is φ = 1160488546560.

The previous prime is 4414001104427. The next prime is 4414001104453. The reversal of 4414001104440 is 444011004144.

It is an interprime number because it is at equal distance from previous prime (4414001104427) and next prime (4414001104453).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86320315 + ... + 86371434.

It is an arithmetic number, because the mean of its divisors is an integer number (151537010625).

Almost surely, 24414001104440 is an apocalyptic number.

4414001104440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4414001104440 is an abundant number, since it is smaller than the sum of its proper divisors (10133551915560).

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

4414001104440 is a wasteful number, since it uses less digits than its factorization.

4414001104440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172691837 (or 172691830 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 4414001104440 its reverse (444011004144), we get a palindrome (4858012108584).

The spelling of 4414001104440 in words is "four trillion, four hundred fourteen billion, one million, one hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 71 72 90 120 142 180 213 284 355 360 426 568 639 710 852 1065 1278 1420 1704 2130 2556 2840 3195 4260 5112 6390 8520 12780 25560 172691749 345383498 518075247 690766996 863458745 1036150494 1381533992 1554225741 1726917490 2072300988 2590376235 3108451482 3453834980 4144601976 5180752470 6216902964 6907669960 7771128705 10361504940 12261114179 12433805928 15542257410 20723009880 24522228358 31084514820 36783342537 49044456716 61305570895 62169029640 73566685074 98088913432 110350027611 122611141790 147133370148 183916712685 220700055222 245222283580 294266740296 367833425370 441400110444 490444567160 551750138055 735666850740 882800220888 1103500276110 1471333701480 2207000552220 4414001104440