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244242214100 = 2252233119317749
BaseRepresentation
bin1110001101110111111…
…0000110110011010100
3212100102122211000201122
43203131332012303110
513000202001322400
6304111530143112
723434356364643
oct3433576066324
9770378730648
10244242214100
11946453a9505
123b404281a98
131a05523a9a1
14bb6dc5335a
1565475c8685
hex38ddf86cd4

244242214100 has 144 divisors (see below), whose sum is σ = 573879936000. Its totient is φ = 89961062400.

The previous prime is 244242214081. The next prime is 244242214133. The reversal of 244242214100 is 1412242442.

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 244242214100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13752026 + ... + 13769774.

Almost surely, 2244242214100 is an apocalyptic number.

244242214100 is a gapful number since it is divisible by the number (20) 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 244242214100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286939968000).

244242214100 is an abundant number, since it is smaller than the sum of its proper divisors (329637721900).

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

244242214100 is a wasteful number, since it uses less digits than its factorization.

244242214100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18010 (or 18003 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 244242214100 its reverse (1412242442), we get a palindrome (245654456542).

The spelling of 244242214100 in words is "two hundred forty-four billion, two hundred forty-two million, two hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 31 46 50 62 92 100 115 124 155 193 230 310 386 460 575 620 713 772 775 965 1150 1426 1550 1930 2300 2852 3100 3565 3860 4439 4825 5983 7130 8878 9650 11966 14260 17749 17756 17825 19300 22195 23932 29915 35498 35650 44390 59830 70996 71300 88745 88780 110975 119660 137609 149575 177490 221950 275218 299150 354980 408227 443725 443900 550219 550436 598300 688045 816454 887450 1100438 1376090 1632908 1774900 2041135 2200876 2751095 2752180 3425557 3440225 4082270 5502190 6851114 6880450 8164540 10205675 11004380 12655037 13702228 13755475 13760900 17127785 20411350 25310074 27510950 34255570 40822700 50620148 55021900 63275185 68511140 78787811 85638925 106192267 126550370 157575622 171277850 212384534 253100740 315151244 316375925 342555700 393939055 424769068 530961335 632751850 787878110 1061922670 1265503700 1575756220 1969695275 2123845340 2442422141 2654806675 3939390550 4884844282 5309613350 7878781100 9769688564 10619226700 12212110705 24424221410 48848442820 61060553525 122121107050 244242214100