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1430444413044 = 2232371901564917
BaseRepresentation
bin10100110100001101001…
…000011001000001110100
312001202020010112012221100
4110310031020121001310
5141414022232204134
63013045340050100
7205226513615523
oct24641510310164
95052203465840
101430444413044
11501714641429
121b1290b33930
13a4b7609096a
144d33ba9a4ba
1527320cc1999
hex14d0d219074

1430444413044 has 72 divisors (see below), whose sum is σ = 3715531216488. Its totient is φ = 463683052800.

The previous prime is 1430444413009. The next prime is 1430444413109. The reversal of 1430444413044 is 4403144440341.

1430444413044 is a `hidden beast` number, since 1 + 4 + 304 + 4 + 4 + 41 + 304 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19884384144 + 1410560028900 = 141012^2 + 1187670^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2249674 + ... + 2814590.

It is an arithmetic number, because the mean of its divisors is an integer number (51604600229).

Almost surely, 21430444413044 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 1430444413044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857765608244).

1430444413044 is an abundant number, since it is smaller than the sum of its proper divisors (2285086803444).

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

1430444413044 is a wasteful number, since it uses less digits than its factorization.

1430444413044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566865 (or 566860 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 1430444413044 its reverse (4403144440341), we get a palindrome (5833588853385).

The spelling of 1430444413044 in words is "one trillion, four hundred thirty billion, four hundred forty-four million, four hundred thirteen thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1901 3802 5703 7604 11406 17109 22812 34218 68436 70337 140674 211011 281348 422022 564917 633033 844044 1129834 1266066 1694751 2259668 2532132 3389502 5084253 6779004 10168506 20337012 20901929 41803858 62705787 83607716 125411574 188117361 250823148 376234722 752469444 1073907217 2147814434 3221721651 4295628868 6443443302 9665164953 12886886604 19330329906 38660659812 39734567029 79469134058 119203701087 158938268116 238407402174 357611103261 476814804348 715222206522 1430444413044