Search a number
-
+
4244020440 = 23351123313799
BaseRepresentation
bin1111110011110110…
…1001110011011000
3101221202212120120020
43330331221303120
532142432123230
61541044030440
7210112402302
oct37475516330
911852776506
104244020440
111888703410
129a5392420
1352834c4ca
142c3914972
1519c8c7810
hexfcf69cd8

4244020440 has 128 divisors (see below), whose sum is σ = 13950144000. Its totient is φ = 1024363520.

The previous prime is 4244020393. The next prime is 4244020441. The reversal of 4244020440 is 440204424.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4244020440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4244020441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300661 + ... + 314459.

It is an arithmetic number, because the mean of its divisors is an integer number (108985500).

Almost surely, 24244020440 is an apocalyptic number.

4244020440 is a gapful number since it is divisible by the number (40) 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 4244020440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6975072000).

4244020440 is an abundant number, since it is smaller than the sum of its proper divisors (9706123560).

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

4244020440 is a wasteful number, since it uses less digits than its factorization.

4244020440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14057 (or 14053 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 4244020440 is about 65146.1467778410. The cubic root of 4244020440 is about 1619.0458792594.

Adding to 4244020440 its reverse (440204424), we get a palindrome (4684224864).

The spelling of 4244020440 in words is "four billion, two hundred forty-four million, twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 233 264 330 440 466 660 699 932 1165 1320 1398 1864 2330 2563 2796 3495 4660 5126 5592 6990 7689 9320 10252 12815 13799 13980 15378 20504 25630 27598 27960 30756 38445 41397 51260 55196 61512 68995 76890 82794 102520 110392 137990 151789 153780 165588 206985 275980 303578 307560 331176 413970 455367 551960 607156 758945 827940 910734 1214312 1517890 1655880 1821468 2276835 3035780 3215167 3642936 4553670 6071560 6430334 9107340 9645501 12860668 16075835 18214680 19291002 25721336 32151670 35366837 38582004 48227505 64303340 70733674 77164008 96455010 106100511 128606680 141467348 176834185 192910020 212201022 282934696 353668370 385820040 424402044 530502555 707336740 848804088 1061005110 1414673480 2122010220 4244020440