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140214410241440 = 25510940072006443
BaseRepresentation
bin11111111000011000110110…
…000111010110010110100000
3200101110100220022221100010112
4133320120312013112112200
5121334233103010211230
61214113335534350452
741351104540206563
oct3770306607262640
9611410808840115
10140214410241440
1140749663221097
12138865aa35b428
136031215327752
14268a5b11544da
151132472acbd95
hex7f86361d65a0

140214410241440 has 96 divisors (see below), whose sum is σ = 334379189612160. Its totient is φ = 55557319578624.

The previous prime is 140214410241431. The next prime is 140214410241497. The reversal of 140214410241440 is 44142014412041.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 140214410241397 and 140214410241406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68878859 + ... + 70885301.

It is an arithmetic number, because the mean of its divisors is an integer number (3483116558460).

Almost surely, 2140214410241440 is an apocalyptic number.

140214410241440 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 140214410241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167189594806080).

140214410241440 is an abundant number, since it is smaller than the sum of its proper divisors (194164779370720).

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

140214410241440 is a wasteful number, since it uses less digits than its factorization.

140214410241440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010574 (or 2010566 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

Adding to 140214410241440 its reverse (44142014412041), we get a palindrome (184356424653481).

The spelling of 140214410241440 in words is "one hundred forty trillion, two hundred fourteen billion, four hundred ten million, two hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 109 160 218 436 545 872 1090 1744 2180 3488 4007 4360 8014 8720 16028 17440 20035 32056 40070 64112 80140 128224 160280 320560 436763 641120 873526 1747052 2006443 2183815 3494104 4012886 4367630 6988208 8025772 8735260 10032215 13976416 16051544 17470520 20064430 32103088 34941040 40128860 64206176 69882080 80257720 160515440 218702287 321030880 437404574 874809148 1093511435 1749618296 2187022870 3499236592 4374045740 6998473184 8039817101 8748091480 16079634202 17496182960 32159268404 34992365920 40199085505 64318536808 80398171010 128637073616 160796342020 257274147232 321592684040 643185368080 876340064009 1286370736160 1752680128018 3505360256036 4381700320045 7010720512072 8763400640090 14021441024144 17526801280180 28042882048288 35053602560360 70107205120720 140214410241440