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1414213320704 = 214295695231
BaseRepresentation
bin10100100101000101101…
…011101100000000000000
312000012022221212022001012
4110211011223230000000
5141132302102230304
63001403003300052
7204113344612562
oct24450553540000
95005287768035
101414213320704
114a5845607528
121aa10121a628
13a348a485202
144c63c171332
1526bc0d7e16e
hex14945aec000

1414213320704 has 120 divisors (see below), whose sum is σ = 2931571742400. Its totient is φ = 681393520640.

The previous prime is 1414213320691. The next prime is 1414213320749. The reversal of 1414213320704 is 4070233124141.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 270349769 + ... + 270354999.

It is an arithmetic number, because the mean of its divisors is an integer number (24429764520).

Almost surely, 21414213320704 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 1414213320704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465785871200).

1414213320704 is an abundant number, since it is smaller than the sum of its proper divisors (1517358421696).

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

1414213320704 is an frugal number, since it uses more digits than its factorization.

1414213320704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5857 (or 5831 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

Adding to 1414213320704 its reverse (4070233124141), we get a palindrome (5484446444845).

The spelling of 1414213320704 in words is "one trillion, four hundred fourteen billion, two hundred thirteen million, three hundred twenty thousand, seven hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 569 928 1024 1138 1856 2048 2276 3712 4096 4552 5231 7424 8192 9104 10462 14848 16384 16501 18208 20924 29696 33002 36416 41848 59392 66004 72832 83696 118784 132008 145664 151699 167392 237568 264016 291328 303398 334784 475136 528032 582656 606796 669568 1056064 1165312 1213592 1339136 2112128 2330624 2427184 2678272 2976439 4224256 4661248 4854368 5356544 5952878 8448512 9322496 9708736 10713088 11905756 16897024 19417472 21426176 23811512 33794048 38834944 42852352 47623024 67588096 77669888 85704704 86316731 95246048 135176192 155339776 172633462 190492096 270352384 310679552 345266924 380984192 621359104 690533848 761968384 1242718208 1381067696 1523936768 2485436416 2762135392 3047873536 5524270784 6095747072 11048541568 12191494144 22097083136 24382988288 44194166272 48765976576 88388332544 176776665088 353553330176 707106660352 1414213320704