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4230144420 = 22351910734679
BaseRepresentation
bin1111110000100010…
…1110000110100100
3101220210202121020120
43330020232012210
532130404110140
61535430401540
7206553430365
oct37410560644
911823677216
104230144420
111880896127
129a08002b0
13525501648
142c1b41b6c
1519b5861d0
hexfc22e1a4

4230144420 has 96 divisors (see below), whose sum is σ = 12584678400. Its totient is φ = 1058649984.

The previous prime is 4230144407. The next prime is 4230144427. The reversal of 4230144420 is 244410324.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4230144427) 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, 104641 + ... + 139319.

It is an arithmetic number, because the mean of its divisors is an integer number (131090400).

Almost surely, 24230144420 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 4230144420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6292339200).

4230144420 is an abundant number, since it is smaller than the sum of its proper divisors (8354533980).

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

4230144420 is a wasteful number, since it uses less digits than its factorization.

4230144420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34817 (or 34815 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4230144420 is about 65039.5604228688. The cubic root of 4230144420 is about 1617.2794377184.

Adding to 4230144420 its reverse (244410324), we get a palindrome (4474554744).

The spelling of 4230144420 in words is "four billion, two hundred thirty million, one hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 107 114 190 214 228 285 321 380 428 535 570 642 1070 1140 1284 1605 2033 2140 3210 4066 6099 6420 8132 10165 12198 20330 24396 30495 34679 40660 60990 69358 104037 121980 138716 173395 208074 346790 416148 520185 658901 693580 1040370 1317802 1976703 2080740 2635604 3294505 3710653 3953406 6589010 7421306 7906812 9883515 11131959 13178020 14842612 18553265 19767030 22263918 37106530 39534060 44527836 55659795 70502407 74213060 111319590 141004814 211507221 222639180 282009628 352512035 423014442 705024070 846028884 1057536105 1410048140 2115072210 4230144420