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434448531440 = 245721110075337
BaseRepresentation
bin1100101001001110010…
…01100111111111110000
31112112101110120002021122
412110213021213333300
524104222311001230
6531325523441412
743250016405200
oct6244711477760
91475343502248
10434448531440
111582809629a0
1270247b26268
1331c78529261
141705535a400
15b47ad45be5
hex6527267ff0

434448531440 has 120 divisors (see below), whose sum is σ = 1281824801712. Its totient is φ = 135412515840.

The previous prime is 434448531379. The next prime is 434448531469. The reversal of 434448531440 is 44135844434.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 434448531391 and 434448531400.

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, 4994549 + ... + 5080788.

Almost surely, 2434448531440 is an apocalyptic number.

434448531440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434448531440 is an abundant number, since it is smaller than the sum of its proper divisors (847376270272).

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

434448531440 is a wasteful number, since it uses less digits than its factorization.

434448531440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10075375 (or 10075362 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 44.

The spelling of 434448531440 in words is "four hundred thirty-four billion, four hundred forty-eight million, five hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 49 55 56 70 77 80 88 98 110 112 140 154 176 196 220 245 280 308 385 392 440 490 539 560 616 770 784 880 980 1078 1232 1540 1960 2156 2695 3080 3920 4312 5390 6160 8624 10780 21560 43120 10075337 20150674 40301348 50376685 70527359 80602696 100753370 110828707 141054718 161205392 201506740 221657414 282109436 352636795 403013480 443314828 493691513 554143535 564218872 705273590 775800949 806026960 886629656 987383026 1108287070 1128437744 1410547180 1551601898 1773259312 1974766052 2216574140 2468457565 2821094360 3103203796 3879004745 3949532104 4433148280 4936915130 5430606643 5642188720 6206407592 7758009490 7899064208 8866296560 9873830260 10861213286 12412815184 15516018980 19747660520 21722426572 27153033215 31032037960 39495321040 43444853144 54306066430 62064075920 86889706288 108612132860 217224265720 434448531440