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1401035340 = 2235232371193
BaseRepresentation
bin101001110000010…
…0001101001001100
310121122021222011210
41103200201221030
510332131112330
6351005014420
746501414065
oct12340415114
93548258153
101401035340
11659936651
12331254410
13194351ac3
14d410156c
1582eeb8b0
hex53821a4c

1401035340 has 144 divisors (see below), whose sum is σ = 4215240288. Its totient is φ = 347415552.

The previous prime is 1401035333. The next prime is 1401035341. The reversal of 1401035340 is 435301041.

It is not an unprimeable number, because it can be changed into a prime (1401035341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1173784 + ... + 1174976.

It is an arithmetic number, because the mean of its divisors is an integer number (29272502).

Almost surely, 21401035340 is an apocalyptic number.

1401035340 is a gapful number since it is divisible by the number (10) 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 1401035340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107620144).

1401035340 is an abundant number, since it is smaller than the sum of its proper divisors (2814204948).

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

1401035340 is a wasteful number, since it uses less digits than its factorization.

1401035340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1401035340 is about 37430.4066234926. The cubic root of 1401035340 is about 1118.9646416084.

Adding to 1401035340 its reverse (435301041), we get a palindrome (1836336381).

The spelling of 1401035340 in words is "one billion, four hundred one million, thirty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 37 46 60 69 74 92 111 115 138 148 185 222 230 276 345 370 444 460 529 555 690 740 851 1058 1110 1193 1380 1587 1702 2116 2220 2386 2553 2645 3174 3404 3579 4255 4772 5106 5290 5965 6348 7158 7935 8510 10212 10580 11930 12765 14316 15870 17020 17895 19573 23860 25530 27439 31740 35790 39146 44141 51060 54878 58719 71580 78292 82317 88282 97865 109756 117438 132423 137195 164634 176564 195730 220705 234876 264846 274390 293595 329268 391460 411585 441410 529692 548780 587190 631097 662115 823170 882820 1015243 1174380 1262194 1324230 1646340 1893291 2030486 2524388 2648460 3045729 3155485 3786582 4060972 5076215 6091458 6310970 7573164 9466455 10152430 12182916 12621940 15228645 18932910 20304860 23350589 30457290 37865820 46701178 60914580 70051767 93402356 116752945 140103534 233505890 280207068 350258835 467011780 700517670 1401035340