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424125144 = 233219389797
BaseRepresentation
bin11001010001111…
…010001011011000
31002120001210022200
4121101322023120
51332034001034
6110030250200
713340001312
oct3121721330
91076053280
10424125144
111a8453553
12ba056960
1369b3a531
14404847b2
152737ba99
hex1947a2d8

424125144 has 96 divisors (see below), whose sum is σ = 1213758000. Its totient is φ = 133422336.

The previous prime is 424125137. The next prime is 424125157. The reversal of 424125144 is 441521424.

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, 531754 + ... + 532550.

Almost surely, 2424125144 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 424125144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606879000).

424125144 is an abundant number, since it is smaller than the sum of its proper divisors (789632856).

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

424125144 is a wasteful number, since it uses less digits than its factorization.

424125144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1210 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 424125144 is about 20594.2988227325. The cubic root of 424125144 is about 751.3310549927.

Adding to 424125144 its reverse (441521424), we get a palindrome (865646568).

The spelling of 424125144 in words is "four hundred twenty-four million, one hundred twenty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 389 456 684 778 797 1167 1368 1556 1594 2334 2391 3112 3188 3501 4668 4782 6376 7002 7173 7391 9336 9564 14004 14346 14782 15143 19128 22173 28008 28692 29564 30286 44346 45429 57384 59128 60572 66519 88692 90858 121144 133038 136287 177384 181716 266076 272574 310033 363432 532152 545148 620066 930099 1090296 1240132 1860198 2480264 2790297 3720396 5580594 5890627 7440792 11161188 11781254 17671881 22322376 23562508 35343762 47125016 53015643 70687524 106031286 141375048 212062572 424125144