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1401004224 = 263210392341
BaseRepresentation
bin101001110000001…
…1010000011000000
310121122020101111100
41103200122003000
510332124113344
6351004214400
746501224264
oct12340320300
93548211440
101401004224
11659915234
1233123a400
131943408a9
14d40d40a4
1582ee2569
hex5381a0c0

1401004224 has 84 divisors (see below), whose sum is σ = 4021307680. Its totient is φ = 466352640.

The previous prime is 1401004219. The next prime is 1401004243. The reversal of 1401004224 is 4224001041.

1401004224 is a `hidden beast` number, since 140 + 100 + 422 + 4 = 666.

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 = 1401004197 and 1401004206.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 597294 + ... + 599634.

Almost surely, 21401004224 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 1401004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010653840).

1401004224 is an abundant number, since it is smaller than the sum of its proper divisors (2620303456).

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

1401004224 is a wasteful number, since it uses less digits than its factorization.

1401004224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3398 (or 3385 counting only the distinct ones).

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

The square root of 1401004224 is about 37429.9909698092. The cubic root of 1401004224 is about 1118.9563577437.

Adding to 1401004224 its reverse (4224001041), we get a palindrome (5625005265).

The spelling of 1401004224 in words is "one billion, four hundred one million, four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1039 2078 2341 3117 4156 4682 6234 7023 8312 9351 9364 12468 14046 16624 18702 18728 21069 24936 28092 33248 37404 37456 42138 49872 56184 66496 74808 74912 84276 99744 112368 149616 149824 168552 199488 224736 299232 337104 449472 598464 674208 1348416 2432299 4864598 7296897 9729196 14593794 19458392 21890691 29187588 38916784 43781382 58375176 77833568 87562764 116750352 155667136 175125528 233500704 350251056 467001408 700502112 1401004224