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1401412211340 = 2235131569313351
BaseRepresentation
bin10100011001001010101…
…011010101001010001100
311221222021211022120020120
4110121022223111022030
5140430043011230330
62551444435144540
7203151205152201
oct24311253251214
94858254276216
101401412211340
114a03767275a9
121a772a145150
13a21ca36c89b
144bb85db9ca8
15266c2117c10
hex1464aad528c

1401412211340 has 96 divisors (see below), whose sum is σ = 3960869552640. Its totient is φ = 370204224000.

The previous prime is 1401412211291. The next prime is 1401412211351. The reversal of 1401412211340 is 431122141041.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1401412211340.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4315665 + ... + 4629015.

It is an arithmetic number, because the mean of its divisors is an integer number (41259057840).

Almost surely, 21401412211340 is an apocalyptic number.

1401412211340 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 1401412211340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980434776320).

1401412211340 is an abundant number, since it is smaller than the sum of its proper divisors (2559457341300).

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

1401412211340 is a wasteful number, since it uses less digits than its factorization.

1401412211340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314063 (or 314061 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1401412211340 its reverse (431122141041), we get a palindrome (1832534352381).

The spelling of 1401412211340 in words is "one trillion, four hundred one billion, four hundred twelve million, two hundred eleven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 393 524 569 655 786 1138 1310 1572 1707 1965 2276 2620 2845 3414 3930 5690 6828 7860 8535 11380 17070 34140 74539 149078 223617 298156 313351 372695 447234 626702 745390 894468 940053 1118085 1253404 1490780 1566755 1880106 2236170 3133510 3760212 4472340 4700265 6267020 9400530 18801060 41048981 82097962 123146943 164195924 178296719 205244905 246293886 356593438 410489810 492587772 534890157 615734715 713186876 820979620 891483595 1069780314 1231469430 1782967190 2139560628 2462938860 2674450785 3565934380 5348901570 10697803140 23356870189 46713740378 70070610567 93427480756 116784350945 140141221134 233568701890 280282442268 350353052835 467137403780 700706105670 1401412211340