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42735465444 = 22372711023653
BaseRepresentation
bin100111110011001110…
…110111001111100100
311002022022022120122110
4213303032313033210
51200010234343234
631344333201020
73042011314500
oct476316671744
9132268276573
1042735465444
1117140068791
128348030170
134050a05879
1420d59d3300
1511a1c251e9
hex9f33b73e4

42735465444 has 72 divisors (see below), whose sum is σ = 117630128448. Its totient is φ = 12038147520.

The previous prime is 42735465439. The next prime is 42735465463. The reversal of 42735465444 is 44456453724.

It is a junction number, because it is equal to n+sod(n) for n = 42735465393 and 42735465402.

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, 470079 + ... + 553574.

It is an arithmetic number, because the mean of its divisors is an integer number (1633751784).

Almost surely, 242735465444 is an apocalyptic number.

It is an amenable number.

42735465444 is an abundant number, since it is smaller than the sum of its proper divisors (74894663004).

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

42735465444 is a wasteful number, since it uses less digits than its factorization.

42735465444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023745 (or 1023736 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 48.

The spelling of 42735465444 in words is "forty-two billion, seven hundred thirty-five million, four hundred sixty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 71 84 98 142 147 196 213 284 294 426 497 588 852 994 1491 1988 2982 3479 5964 6958 10437 13916 20874 41748 1023653 2047306 3070959 4094612 6141918 7165571 12283836 14331142 21496713 28662284 42993426 50158997 72679363 85986852 100317994 145358726 150476991 200635988 218038089 290717452 300953982 436076178 508755541 601907964 872152356 1017511082 1526266623 2035022164 3052533246 3561288787 6105066492 7122577574 10683866361 14245155148 21367732722 42735465444