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1444004323300 = 2252711349153719
BaseRepresentation
bin10101000000110101010…
…111010101111111100100
312010001020010220000212201
4111000311113111333210
5142124310101321200
63023211052024244
7206216526141550
oct25006527257744
95101203800781
101444004323300
11507442882730
121b3a36162084
13a62274628b6
144dc66934860
1527866472c6a
hex150355d5fe4

1444004323300 has 144 divisors (see below), whose sum is σ = 3907879879680. Its totient is φ = 449941968000.

The previous prime is 1444004323291. The next prime is 1444004323309. The reversal of 1444004323300 is 33234004441.

It is an interprime number because it is at equal distance from previous prime (1444004323291) and next prime (1444004323309).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1444004323309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26853841 + ... + 26907559.

It is an arithmetic number, because the mean of its divisors is an integer number (27138054720).

Almost surely, 21444004323300 is an apocalyptic number.

1444004323300 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 1444004323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953939939840).

1444004323300 is an abundant number, since it is smaller than the sum of its proper divisors (2463875556380).

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

1444004323300 is a wasteful number, since it uses less digits than its factorization.

1444004323300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57242 (or 57235 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 1444004323300 its reverse (33234004441), we get a palindrome (1477238327741).

The spelling of 1444004323300 in words is "one trillion, four hundred forty-four billion, four million, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3491 3850 6982 7700 13964 17455 24437 34910 38401 48874 53719 69820 76802 87275 97748 107438 122185 153604 174550 192005 214876 244370 268595 268807 349100 376033 384010 488740 537190 537614 590909 610925 752066 768020 960025 1074380 1075228 1181818 1221850 1342975 1344035 1504132 1880165 1920050 2363636 2443700 2685950 2688070 2954545 3760330 3840100 4136363 5371900 5376140 5909090 6720175 7520660 8272726 9400825 11818180 13440350 14772725 16545452 18801650 20681815 26880700 29545450 37603300 41363630 59090900 82727260 103409075 187533029 206818150 375066058 413636300 750132116 937665145 1312731203 1875330290 2062863319 2625462406 3750660580 4125726638 4688325725 5250924812 6563656015 8251453276 9376651450 10314316595 13127312030 14440043233 18753302900 20628633190 26254624060 28880086466 32818280075 41257266380 51571582975 57760172932 65636560150 72200216165 103143165950 131273120300 144400432330 206286331900 288800864660 361001080825 722002161650 1444004323300