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4401412020 = 2234523118127
BaseRepresentation
bin1000001100101100…
…00011011110110100
3102100202000220020000
410012112003132310
533003230141040
62004425311300
7214033246005
oct40626033664
912322026200
104401412020
111959533aa5
12a2a035530
13551b38915
142da7a51ac
151ab617130
hex1065837b4

4401412020 has 120 divisors (see below), whose sum is σ = 14407835904. Its totient is φ = 1122669504.

The previous prime is 4401412007. The next prime is 4401412027. The reversal of 4401412020 is 202141044.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4401411984 and 4401412002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4401412027) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21804 + ... + 96323.

Almost surely, 24401412020 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 4401412020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7203917952).

4401412020 is an abundant number, since it is smaller than the sum of its proper divisors (10006423884).

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

4401412020 is a wasteful number, since it uses less digits than its factorization.

4401412020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118171 (or 118160 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4401412020 is about 66343.1384545531. The cubic root of 4401412020 is about 1638.8178100328.

Adding to 4401412020 its reverse (202141044), we get a palindrome (4603553064).

The spelling of 4401412020 in words is "four billion, four hundred one million, four hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 81 90 92 108 115 135 138 162 180 207 230 270 276 324 345 405 414 460 540 621 690 810 828 1035 1242 1380 1620 1863 2070 2484 3105 3726 4140 6210 7452 9315 12420 18630 37260 118127 236254 354381 472508 590635 708762 1063143 1181270 1417524 1771905 2126286 2362540 2716921 3189429 3543810 4252572 5315715 5433842 6378858 7087620 8150763 9568287 10631430 10867684 12757716 13584605 15947145 16301526 19136574 21262860 24452289 27169210 31894290 32603052 38273148 40753815 47841435 48904578 54338420 63788580 73356867 81507630 95682870 97809156 122261445 146713734 163015260 191365740 220070601 244522890 293427468 366784335 440141202 489045780 733568670 880282404 1100353005 1467137340 2200706010 4401412020