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14241311322100 = 2252241590925781
BaseRepresentation
bin1100111100111101000001…
…0011010110111111110100
31212102110022110202020111121
43033033100103112333310
53331312201144301400
650142211302113324
72666620653632632
oct317172023267764
955373273666447
1014241311322100
1145a0784a755a5
12172008a41b844
137c3c46bc5bc5
143733d6d48352
1519a6b103421a
hexcf3d04d6ff4

14241311322100 has 36 divisors (see below), whose sum is σ = 31031876515948. Its totient is φ = 5672887488000.

The previous prime is 14241311322053. The next prime is 14241311322131. The reversal of 14241311322100 is 122311314241.

It can be written as a sum of positive squares in 6 ways, for example, as 636456119524 + 13604855202576 = 797782^2 + 3688476^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 295438791 + ... + 295486990.

Almost surely, 214241311322100 is an apocalyptic number.

14241311322100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14241311322100 is an abundant number, since it is smaller than the sum of its proper divisors (16790565193848).

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

14241311322100 is a wasteful number, since it uses less digits than its factorization.

14241311322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590926036 (or 590926029 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 14241311322100 its reverse (122311314241), we get a palindrome (14363622636341).

The spelling of 14241311322100 in words is "fourteen trillion, two hundred forty-one billion, three hundred eleven million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 241 482 964 1205 2410 4820 6025 12050 24100 590925781 1181851562 2363703124 2954628905 5909257810 11818515620 14773144525 29546289050 59092578100 142413113221 284826226442 569652452884 712065566105 1424131132210 2848262264420 3560327830525 7120655661050 14241311322100