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4202144424 = 2332196135011
BaseRepresentation
bin1111101001110111…
…1010001010101000
3101211212002001110200
43322131322022220
532101222110144
61532550312200
7206063431632
oct37235721250
911755061420
104202144424
111867001335
12993358660
1351c779aba
142bc133a52
15198da4c69
hexfa77a2a8

4202144424 has 96 divisors (see below), whose sum is σ = 12001735200. Its totient is φ = 1324563840.

The previous prime is 4202144381. The next prime is 4202144477. The reversal of 4202144424 is 4244412024.

4202144424 is a `hidden beast` number, since 4 + 2 + 0 + 214 + 442 + 4 = 666.

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, 836079 + ... + 841089.

It is an arithmetic number, because the mean of its divisors is an integer number (125018075).

Almost surely, 24202144424 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 4202144424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6000867600).

4202144424 is an abundant number, since it is smaller than the sum of its proper divisors (7799590776).

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

4202144424 is a wasteful number, since it uses less digits than its factorization.

4202144424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5655 (or 5648 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 4202144424 is about 64823.9494631421. The cubic root of 4202144424 is about 1613.7031925669.

Adding to 4202144424 its reverse (4244412024), we get a palindrome (8446556448).

The spelling of 4202144424 in words is "four billion, two hundred two million, one hundred forty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 613 684 1226 1368 1839 2452 3678 4904 5011 5517 7356 10022 11034 11647 14712 15033 20044 22068 23294 30066 34941 40088 44136 45099 46588 60132 69882 90198 93176 95209 104823 120264 139764 180396 190418 209646 279528 285627 360792 380836 419292 571254 761672 838584 856881 1142508 1713762 2285016 3071743 3427524 6143486 6855048 9215229 12286972 18430458 24573944 27645687 36860916 55291374 58363117 73721832 110582748 116726234 175089351 221165496 233452468 350178702 466904936 525268053 700357404 1050536106 1400714808 2101072212 4202144424