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444000431430 = 232547104964641
BaseRepresentation
bin1100111011000000111…
…11001110110101000110
31120110001011010212202100
412131200133032311012
524233303102301210
6535545422052530
744035513253133
oct6354037166506
91513034125670
10444000431430
11161332739816
1272072a1a146
1332b3b43379a
14176bdb9758a
15b8396dd5c0
hex67607ced46

444000431430 has 48 divisors (see below), whose sum is σ = 1178962858944. Its totient is φ = 115880962560.

The previous prime is 444000431339. The next prime is 444000431461. The reversal of 444000431430 is 34134000444.

It is a super-2 number, since 2×4440004314302 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444000431394 and 444000431403.

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, 52478091 + ... + 52486550.

It is an arithmetic number, because the mean of its divisors is an integer number (24561726228).

Almost surely, 2444000431430 is an apocalyptic number.

444000431430 is an abundant number, since it is smaller than the sum of its proper divisors (734962427514).

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

444000431430 is a wasteful number, since it uses less digits than its factorization.

444000431430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104964701 (or 104964698 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 444000431430 its reverse (34134000444), we get a palindrome (478134431874).

The spelling of 444000431430 in words is "four hundred forty-four billion, four hundred thirty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 141 235 282 423 470 705 846 1410 2115 4230 104964641 209929282 314893923 524823205 629787846 944681769 1049646410 1574469615 1889363538 3148939230 4723408845 4933338127 9446817690 9866676254 14800014381 24666690635 29600028762 44400043143 49333381270 74000071905 88800086286 148000143810 222000215715 444000431430